Evolution Equations and Control Theory

Article	Citations
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator	13
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros	13
Optimal control for a free boundary tumor growth model	13
Fast rates and strong convergence towards the minimum norm solution of dynamic trajectories with Tikhonov regularization for convex minimization under linear constraints	11
Nonlinear continuous data assimilation	10
Blow-up phenomena of boundary delay effects in nonlinear logarithmic wave dynamics	10
Stability properties for a problem of light scattering in a dispersive metallic domain	9
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity	9
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system	9
Optimal polynomial thermoelastic stability of a composite material	9
Global solutions to a chemotaxis-consumption model with signal-dependent motility	7
Singular limits and dynamics for the abstract Timoshenko system	7
On a quasilinear fully parabolic chemotaxis-type solow-swan model with indirect signal	7
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space	7
On the Laplace equation with non-local dynamical boundary conditions	7
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement	7
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator	7
Global existence and exponential stability of a fractionally damped logarithmic Lamé system with infinite memory	7
Optimal control of time-periodic solutions to quasi-variational evolution equations	7
Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions	6
An initial-boundary value problem describing moisture transport in porous media: Existence of strong solutions and an error estimate for a finite volume scheme	6
Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator	6
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates	6
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces	6
<inline-formula><tex-math id="M1">$ H^\infty $</tex-math></inline-formula>-control problem for a singular parabolic system with convection	6

Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation	6
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions	6
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities	5
Robust model reductions for the boundary feedback stabilization of magnetizable piezoelectric beams	5
A source inverse problem for semilinear nonlocal pseudo-parabolic equations with nonlinear intensity	5
Temporal periodic solutions for fractional evolution equations with nonlinear source terms	5
On the exponential stabilization of a semilinear Timoshenko beam system via locally distributed delayed damping	5
A new PDE-Constrained optimization applied to image denoising	5
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator	5
A continuous-time inertial Newton method for structured monotone inclusions	4
Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order <inline-formula><tex-math id="M1">$ \beta	4
Approximate controllability of impulsive fractional neutral hemivariational inequality with infinite delay via an approximating technique	4
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling	4
Sensitivity analysis for equilibrium problems and applications to optimal control problems	4
Preface	4
A general decay result for the Cauchy problem of plate equations with memory	4
Existence and robustness results of attractors for partially-damped piezoelectric beams	4
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system	4
Von Karman thermoelastic plates: Existence and nonexistence of global solutions	4
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $	4
Variational analysis of proximal compositions and integral proximal mixtures	4
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data	4
Hédy Attouch (1949-2023)	4
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force	4
Existence and relaxation of BV solutions for a sweeping process with prox-regular sets	3
Robust <inline-formula><tex-math id="M1">$ H_{\infty} $</tex-math></inline-formula> sampled-data sliding mode control for Markov switching stochastic neutral-type systems with	3
Boundary controllability of Caputo fractional differential equations	3
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point	3
Eigenvalue regularity criterion for the MHD equations with fractional magnetic diffusion	3
Non-unique stationary solutions of even active scalar equations	3
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure	3
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth	3
Approximate controllability of nonconvex-valued semilinear differential inclusions with nonlocal conditions	3
Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping	3
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis	3
On Bochner's almost-periodicity criterion	3
Enhanced dissipation via time-modulated velocity fields	3
Retraction: Khaled Zennir. Existence and general qualitative properties of <inline-formula><tex-math id="M1">$ k $</tex-math></inline-formula>th-order solution for nonlinear vi	3
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum	3
Weak solvability of the initial-boundary value problem for a finite-order model of the inhomogeneous incompressible Kelvin-Voigt fluid without a positive lower bound on the initial condition of fluid	3
Variational analysis for a quasistatic piezoelectric contact problem governed by a class of history-dependent quasi-variational-hemivariational inequalities	3
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations	3
A new regularity criterion for the 3D incompressible Boussinesq equations in terms of the middle eigenvalue of the strain tensor in the homogeneous Besov spaces with negative indices	3
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping	3
Second order dynamical systems governed by maximally monotone operators: Quantitative stability	3
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions	3
On the finite time blow-ups for solutions of nonlinear differential equations	2
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams	2
Global boundedness for a class of chemotaxis-consumption systems involving singularly signal-dependent motility	2
Stability analysis of a coupled plate system with nonlinear damping mechanisms of energy-type	2

Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations	2
Well-posedness and numerical solver for a KPI equation with time-dependent coefficients	2
Boundary controllability of a linear Schrödinger-Korteweg-de Vries system	2
A convex relaxation method for free boundary problems	2
Controllability for the wave equation on graph with cycle and delta-prime vertex conditions	2
Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law	2
Estimating two time-varying reaction coefficients in a water quality model from inexact initial and boundary data	2
Optimal control for stochastic differential equations and related Kolmogorov equations	2
Observability of dispersive equations from line segments on the torus	2
Well-posedness of Navier–Stokes–Voigt system with forces of low time-space regularity	2
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction	2
Stability of backward inverse problems for degenerate mean-field game systems	2
An observability estimate for the wave equation and applications to the Neumann boundary controllability for the semilinear wave equations	2
Global dynamics of Bazykin-type cross-diffusive model with indirect predator-taxis	2
Energy decay for a suspension bridge problem with variable exponent and time dependent nonlinear damping	2
Asymptotic Behavior of Serially-Connected Piezoelectric-Elastic smart design: Enhanced Polynomial and new Exponential Decay	2
On the exact controllability for the Benney-Luke equation in a bounded domain	2
Stochastic optimal linear quadratic controls with a recursive cost functional	2
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions	2
Regularity for non-autonomous parabolic equations with right hand side singular measures involved	2
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay	2
Evolution families in the framework of maximal regularity	2
On the existence of mild solutions of some partial functional integrodifferential equations with non continuous state-dependent delay function	2
From inertial systems to proximal flows: The large damping limit of implicit Hessian-driven dynamics	2
Effective filtering for slow-fast systems via Wong-Zakai approximation	2
Optimal harvesting for a logistic model with grazing	1
Null-controllability for weakly dissipative heat-like equations	1
Envelope, singular solution, and finite-time stability	1
Uniform stabilization of the Boussinesq system in Besov spaces via finite dimensional, boundary-based fluid and interior thermal feedbacks	1
Memory approximate controllability properties for higher order Hilfer time-fractional evolution equations	1
Partial approximate controllability results for fractional order stochastic evolution equations using approximation method	1
Mean continuity and local controllability of pullback random attractors for random nonlocal equations	1
Stabilization for some degenerate wave equations	1
Global boundedness for a predator-prey model with nonlinear indirect pursuit-evasion effect	1
Pullback attractors for non-autonomous MGT-Fourier system	1
Global weak solutions to a chemotaxis system for virus dynamics with <inline-formula><tex-math id="M1">$ p $</tex-math></inline-formula>-Laplacian diffusion and singular sensit	1
Pontryagin's optimal variational inequalities for SDEs with non-differentiable coefficients: A Malliavin calculus approach	1
Dynamics of nonlinear anomalous reaction-diffusion models: Global existence and blow-up of solutions	1
Robustness for coupled inclusions with respect to variable exponents	1
Global weak solutions to a doubly haptotactic cross-diffusion system with $ p $-Laplacian diffusion	1
Optimal control problems governed by space-time fractional parabolic equations on metric graphs	1
Boundedness in an attraction-repulsion chemotaxis system with both nonlinear signal production and consumption	1
Blow-up time bounds for a strongly damped wave equation with PINNs validation	1
Observability for Bessel-type Schrödinger equations based on uncertainty principles	1
Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems	1
Global-in-time solutions and Hölder continuity for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale	1
Stochastic optimal switching and systems of variational inequalities with interconnected obstacles	1
Identifiability of some space dependent coefficients in a wave equation of nonlinear acoustics	1
Optimal control problems governed by Marguerre–von Kármán evolution equations with long memory	1
Decay estimates for a perturbed two-terms space-time fractional diffusive problem	1
Global bounded solutions in a higher-dimensional SIS reaction-diffusion-chemotaxis epidemic model with flux limitation and nonlinear incidence	1
Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces	1
Mean-square controllable continuous attractors for random Korteweg-de Vries lattice equations	1
Blow up for nonlinear wave-type equations with perturbed derivatives	1
Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential	1
The Heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories	1
Optimal regional control for a class of semilinear fractional evolution equations	1
Boundedness and stabilization in a haptotaxis model of oncolytic virotherapy with nonlinear sensitivity	1
Asymptotic analysis of an age-structured predator-prey model with ratio-dependent Holling Ⅲ functional response and delays	1
On the existence and continuity results for viscoelastic problem parabolic equations	1
Time-space fractional porous medium equations with nonlocal nonlinear terms	1
Exact boundary controllability for one-dimensional wave equations systems with a time dependent potential in non-cylindrical domains	1
Discrete Hilfer fractional evolution equations: Explicit solution families, maximal <inline-formula><tex-math id="M1">$ \ell^{p} $</tex-math></inline-formula>-regularity, and o	1
Mathematical analysis of an abstract model and its applications to structured populations (I)	1
Riccati-based solution to the optimal control of linear evolution equations with finite memory	1
On the singular limit of a boundary delayed Kuramoto-Sivashinsky-Korteweg-de Vries equation: Well-posedness and stability results	1
Boundary null controllability of the heat equation with Wentzell boundary condition and Dirichlet control	1
Local exact controllability to constant trajectories for Navier-Stokes-Korteweg model	1
Boundary null controllability for the heat equation with dynamic boundary conditions	1
Global exponential contraction of functional differential equations	1
Stability and optimal control for an age-structured model of periodical cicadas	1
Multiple turnpikes of linear control systems with nonconvex integrands	1
Time optimal control for a class of evolutionary equations with applications	1
Asymptotic behaviour of a 2D Piezoelectric beam with magnetic effect on a rectangular or annular domain: Case without geometric conditions	1
Approximate controllability of nonconvex valued semilinear differential inclusion	1
Boundedness in a flux-limited chemotaxis-haptotaxis model with nonlinear diffusion	1
Well-posedness, exponential and polynomial decay for a Timoshenko system with logarithmic nonlinear damping: The cases of equal &amp; nonequal-speed propagation	1
Time periodic solution to chemotaxis-shallow water system in a periodic domain	1
Multiplicative controllability of the reaction-diffusion equation on a parallelepiped with finitely many hyperplanes of change of sign	1
Sharp higher-order <inline-formula><tex-math id="M1">$ L^2 $</tex-math></inline-formula>-asymptotic expansion of solutions to <inline-formula><tex-math id="M2">$ \s	1

Solvability and Ulam stability in the <inline-formula><tex-math id="M1">$ \alpha $</tex-math></inline-formula>-norm for a nonlocal coupled system of integrodifferential equatio	1
Controllability for Schrödinger type system with mixed dispersion on compact star graphs	1
Null controllability of KdV equation in a star-shaped network	1
Time optimal control for semi-linear second-order evolution systems with infinite delay	1
The necessary optimal condition of inverse heat source problem	1
Feedback control problems for a class of backward Riemann-Liouville fractional evolution hemivariational inequalities with dual operators	1
An optimal control problem driven by iterative integro-differential inclusion	0
Solving coupled pairs of fractional differential equations by Mikusiński's operational calculus	0
Sweeping process with unbounded delayed perturbation	0
Approximate controllability for second-order stochastic neutral evolution equations with infinite delay	0
An anisotropic tempered fractional $ p $-Laplacian model involving logarithmic nonlinearity	0
Global existence and asymptotic behavior of classical solutions of a fully parabolic chemotaxis system with indirect signal production and nonlinear sensitivity	0
Controllability for a 2 × 2 nonlinear degenerate parabolic system via one boundary control force	0
Global well-posedness of 3D magneto-micropolar fluid equations without magnetic diffusion	0
Heat equation involving generalized <i>p</i>(<i>ξ</i>)-Laplacian with logarithmic nonlinearity	0
Null controllability for parabolic systems with dynamic boundary conditions	0
Exact controllability of semilinear heat equations through a constructive approach	0
Formation of stationary interfaces in the fast reaction limit	0
Analysis of diffusive size-structured population model and optimal birth control	0
Recovery of weight function of one-dimensional mixed distributed-fractional problem	0
On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping	0
Optimal tubes for non-cylindrical Navier-Stokes flows with Navier boundary condition	0
Well-posedness and regularization for Caputo fractional elliptic equation with nonlocal condition	0
Approximation of the set of integrable trajectories of the control system with $ L_2 $ norm constraints on control functions	0
Continuous data assimilation and feedback control of fractional reaction-diffusion equations	0
On the decay of a porous thermoelastic system with thermal dissipation and delay term	0
Optimal feedback control for a class of partial differential inclusions with memory	0
Painlevé-Kuratowski convergences of solutions to nonlinear multiobjective optimal control problems	0
On theoretical result of a controlled $ p(x) $-reaction diffusion equation for Poisson noise reduction	0
Robust tracking of fractional-order diffusion equation with uncertain parameter using second-order sliding mode boundary control	0
Approximation of mild solutions of delay integro-differential equations on Banach spaces	0
Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses	0
Existence results for a periodic 1-D compressible Landau-Lifshitz-Bloch-Heisenberg equation	0
Asymptotic behavior of a viscoelastic wave-Petrovsky coupled system with supercritical source terms	0
Boundary consensus of networked hyperbolic PDE systems with input disturbances	0
Invariant measures and limit behavior for semi-linear neutral stochastic integro-differential evolution equations with infinite delay	0
Exponential decay for a delayed dispersive-dissipative wave equation with time dependent coefficients	0
Optimal control of Landau-Lifshitz-Bloch equation with applied current	0
Finite-time blow-up of coupled nonlinear asymmetric wave systems with tempered fractional delay	0
Density of weak solutions of the fractional Navier-Stokes equations in the smooth divergence-free vector fields	0
Mathematical and numerical modeling of dynamic piezoelectric contact	0
Traveling-wave solutions for a higher-order Boussinesq system: Existence and numerical analysis	0
Sufficient maximum principle for partially observed mean-field stochastic optimal control problems with delays	0
A note on weighted vanishing mean value functions and WPAP solutions to nonautonomous evolution equations	0
Optimal control of the 3D damped Navier-Stokes-Voigt equations with control constraints	0
A coupled problem described by time-dependent subdifferential operator and non-convex perturbed sweeping process	0
Optimal control of McKean-Vlasov equations with controlled stochasticity	0
New criteria for blow–up of the Boussinesq equations with zero heat conductivity	0
Pointwise feedback stabilization of an unstable cascaded heat-heat system with different reaction coefficients	0
Continuum modeling and analysis of collective motion on Riemannian manifolds	0
Optimal boundary control of the Bulk-surface Coupled Cahn-Hilliard-diffusion system for lipid raft formation	0
A note on control of one-dimensional heterogeneous reaction-diffusion equations	0
Space-time-dependent source identification problem for a subdiffusion equation	0
Boundary perturbation theorem for the essential spectral radius with application to a spatial tumor invasion with cell age	0
A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity	0
On the weighted Fourier transform, fractional Laplacian, and Riesz and Bessel potentials with respect to a function and applications for fractional partial differential equations	0
On the exact observability of Schrödinger equations associated with Laguerre operators	0
Solvability of a chemotaxis system modeling immune response to a solid tumor with <i>L</i><sup>2</sup>-initial data	0
Blow-up for a pseudo-parabolic $ p $-Kirchhoff equation with logarithmic nonlinearity	0
The quadratic tracking problem for systems with persistent memory in $ \mathbb{R}^d $	0
Scattering for a defocusing inhomogeneous Hartree equation in the mass-subcritical regime	0
Uniform decaying property of solutions for anisotropic viscoelastic systems	0
Optimal control for infinite-horizon bilinear systems subject to a set of vector-valued functions	0
Well-posedness of the Maxwell equations with nonlinear Ohm law	0
Nonexistence for a time-fractional damped wave equation in an annulus	0
Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure	0
(<i>L<sup>p</sup></i>, <i>L<sup>q</sup></i>) Hyers-Ulam stability	0
Uniqueness for the Schrödinger equation with an inverse square potential and application to controllability and inverse problems	0
Controllability results to stochastic neutral functional differential equations with delay	0
Stability results of a laminated beam with Cattaneo's thermal law and structural damping	0
Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity	0
Stability result of the Kawahara equation with localized damping and time-varying delay	0
Weak solutions of neutral stochastic functional differential equations in infinite dimensional spaces	0
On a discontinuous dynamical system with non-convex sweeping process and subdifferential	0
Recovering all coefficients in the Schrödinger equation with finite sets of boundary measurements	0
An effect of decay rates: Supercritical damping and a viscoelastic term	0
Lifespan estimate for a porous medium equation with gradient terms under nonlinear boundary conditions	0
Well-posedness and approximate controllability for some integrodifferential evolution systems with multi-valued nonlocal conditions	0
Regularity results for degenerate wave equations in a neighborhood of the boundary	0
Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control	0
On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime	0
On a beam model with degenerate nonlocal nonlinear damping	0
On the approximate boundary controllability of some partial functional integrodifferential equations with finite delay in Banach spaces	0
Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks	0
Rapid boundary stabilization for the longitudinal vibrations of a bar	0
On the Cauchy problem for semilinear thermoelastic plate systems in the <i>L<sup>q</sup></i> framework	0
Uniformly exponentially stable finite-difference model reduction of heat and piezoelectric beam interactions with static or hybrid feedback controllers	0
Null boundary controllability for some biological and chemical diffusion problems	0
Long-time behavior for Kirchhoff wave equation with a memory term and a structural damping	0
Qualitative analysis of certain reaction-diffusion systems of the FitzHugh-Nagumo type	0
On a class of second-order dynamical systems involving viscous and Hessian-driven damping	0
Inverse problem for abstract delay differential equation with impulsive effects	0
Asymptotic behavior of solutions of the Cauchy problem for a hyperbolic equation with periodic coefficients. the principle of the limiting amplitude	0
Well-posedness of a variable-exponent telegraph equation applied to image despeckling	0
Adaptive-memory fractional SIR dynamics via Hermite wavelet spectral methods	0