Evolution Equations and Control Theory

Article	Citations
Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations	17
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum	15
Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour	13
Asymptotic autonomy of random attractors for non-autonomous stochastic Navier-Stokes equations on bounded domains	13
Stability of a damped wave equation on an infinite star-shaped network	13
Well-posed control problems related to second-order differential inclusions	10
Robustness of output feedback control for a wave-ODE cascaded system to the input delay mismatch	10
Robustness of global attractors: Abstract framework and application to dissipative wave equations	9
Exponential stabilization of the problem of transmission of wave equation with linear dynamical feedback control	9
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point	9
Persistence of superoscillations under the Schrödinger equation	8
Well-posedness and regularization for Caputo fractional elliptic equation with nonlocal condition	8
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth	7
The Heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories	7
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system	7
Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes	5
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator	5
Robustness for coupled inclusions with respect to variable exponents	5
Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains	5
Controllability results for second-order integro-differential equations with state-dependent delay	5
Riccati-based solution to the optimal control of linear evolution equations with finite memory	5
On Bochner's almost-periodicity criterion	5
Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness	4
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption and logistic source	4
Multiplicative controllability of the reaction-diffusion equation on a parallelepiped with finitely many hyperplanes of change of sign	4

Local null controllability of a class of non-Newtonian incompressible viscous fluids	4
Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials	4
Null boundary controllability for some biological and chemical diffusion problems	4
On the decay of a porous thermoelastic system with thermal dissipation and delay term	4
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure	4
Dispersive decay bound of small data solutions to higher order KdV-type equations with low order nonlinearity	4
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis	4
Kato's inequality for $ m $-Laplace operator on locally finite graphs and applications	3
Nonlinear continuous data assimilation	3
Linear subdiffusion in weighted fractional Hölder spaces	3
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros	3
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass	3
Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data	3
A canonical model of the one-dimensional dynamical Dirac system with boundary control	3
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions	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
Controller and asymptotic autonomy of random attractors for stochastic p-Laplace lattice equations	3
On a beam model with degenerate nonlocal nonlinear damping	3
Internal control for a non-local Schrödinger equation involving the fractional Laplace operator	3
Approximate controllability of neutral delay integro-differential inclusion of order $ \alpha\in (1, 2) $ with non-instantaneous impulses	3
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity	3
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity	3
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping	3
An inverse problem for the pseudo-parabolic equation with p-Laplacian	3
Boundedness and stabilization in a haptotaxis model of oncolytic virotherapy with nonlinear sensitivity	3
Controlled singular evolution equations and Pontryagin type maximum principle with applications	3
Local well-posedness of the coupled KdV-KdV systems on $ \mathbb{R} $	3
Stability of exponential attractors for singularly perturbed phase-field systems of Oono type	2
Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: Subordination principle	2
Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation	2
Analysis of nonlinear fractional diffusion equations with a Riemann-liouville derivative	2
Continuous data assimilation and feedback control of fractional reaction-diffusion equations	2
Complete controllability for a class of fractional evolution equations with uncertainty	2
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay	2
Unique mild solution for Caputo's fractional perturbed evolution equations with state-dependent delay	2
Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks	2
Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control	2
On periodic solutions to a class of delay differential variational inequalities	2
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations	2
Optimal polynomial thermoelastic stability of a composite material	2
Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with "fading memory"	2
Stability properties for a problem of light scattering in a dispersive metallic domain	2
Observability of dispersive equations from line segments on the torus	2
Exact controllability of wave equations with internal control in moving boundary domain	2
Optimal harvesting for a logistic model with grazing	2
Optimal control problems governed by Marguerre–von Kármán evolution equations with long memory	2
On the Cauchy problem for a derivative nonlinear Schrödinger equation with nonvanishing boundary conditions	2
Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations	2
Second order dynamical systems governed by maximally monotone operators: Quantitative stability	2
$ L^p $-exact controllability of partial differential equations with nonlocal terms	2

Exponential stability for a multi-particle system with piecewise interaction function and stochastic disturbance	2
Singular limits and dynamics for the abstract Timoshenko system	2
$ (\omega,\mathbb{T}) $-periodic solutions of impulsive evolution equations	2
Qualitative behavior of solutions for a chemotaxis-haptotaxis model with flux limitation	1
Exponential stabilization of a linear Korteweg-de Vries equation with input saturation	1
Solvability of doubly nonlinear parabolic equation with <i>p</i>-laplacian	1
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces	1
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates	1
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement	1
Envelope, singular solution, and finite-time stability	1
Time optimal control for a class of evolutionary equations with applications	1
On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime	1
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling	1
A class of viscoelastic evolution equation on manifolds with conical singularities	1
Regularity results for degenerate wave equations in a neighborhood of the boundary	1
The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization	1
Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition	1
A note on control of one-dimensional heterogeneous reaction-diffusion equations	1
Global-in-time solutions and Hölder continuity for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale	1
Stabilization of port-Hamiltonian systems with discontinuous energy densities	1
Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces	1
Blow-up of solutions to semilinear wave equations with a time-dependent strong damping	1
Neutral delay Hilfer fractional integrodifferential equations with fractional brownian motion	1
Local proximal algorithms in Riemannian manifolds: Application to the behavioral traveler's problem	1
Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints	1
Nonlinear logarithmic wave equations: Blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation	1
An anisotropic tempered fractional $ p $-Laplacian model involving logarithmic nonlinearity	1
Painlevé-Kuratowski convergences of solutions to nonlinear multiobjective optimal control problems	1
New criteria for exponential stability in mean square of stochastic functional differential equations with infinite delay	1
Sweeping process with unbounded delayed perturbation	1
Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a banach space	1
Control of a flexible satellite with an internal nonlinear disturbance	1
Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives	1
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions	1
A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity	1
Optimal tubes for non-cylindrical Navier-Stokes flows with Navier boundary condition	1
Global boundedness of a density-dependent SIRS epidemic model with nonlinear infection mechanism	1
Stability analysis of partially viscoelastic Reissner-Mindlin-Timoshenko plates	1
Impulsive hemivariational inequality for a class of history-dependent quasistatic frictional contact problems	1
Motion planning problem for a class of hyperbolic PDEs	1
Uniformly exponentially stable finite-difference model reduction of heat and piezoelectric beam interactions with static or hybrid feedback controllers	1
Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation	1
Non-unique stationary solutions of even active scalar equations	1
Pseudo $ S $-asymptotically Bloch type periodic solutions to a damped evolution equation	1
Non-autonomous 2D Newton-Boussinesq equation with oscillating external forces and its uniform attractor	1
Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces	1
Exact controllability and stabilization for a general internal wave system of Benjamin-Ono type	1
Singular integro-differential equations with applications	1
Stochastic optimal switching and systems of variational inequalities with interconnected obstacles	1
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation	1
Memory approximate controllability properties for higher order Hilfer time-fractional evolution equations	1
Sufficient maximum principle for partially observed mean-field stochastic optimal control problems with delays	1
Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system	1
Stabilization for some degenerate wave equations	1
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations	1
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions	1
Local exact controllability to constant trajectories for Navier-Stokes-Korteweg model	1
Effective filtering for slow-fast systems via Wong-Zakai approximation	1
A Newtonian approach to general black holes	1
From low to high-and lower-optimal regularity of the SMGTJ equation with Dirichlet and Neumann boundary control, and with point control, via explicit representation formulae	0
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force	0
Local stabilization of viscous Burgers equation with memory	0
Asymptotic behaviour of a 2D Piezoelectric beam with magnetic effect on a rectangular or annular domain: Case without geometric conditions	0
Boundary null controllability for the heat equation with dynamic boundary conditions	0
Global well-posedness of 3D magneto-micropolar fluid equations without magnetic diffusion	0
Stability estimate for a partial data inverse problem for the convection-diffusion equation	0
On theoretical result of a controlled $ p(x) $-reaction diffusion equation for Poisson noise reduction	0
The method of extremal shift in control problems for evolution variational inequalities under disturbances	0
Optimal time-decay rate of global classical solutions to the generalized compressible Oldroyd-B model	0
Stability results of a laminated beam with Cattaneo's thermal law and structural damping	0
Partial approximate controllability results for fractional order stochastic evolution equations using approximation method	0
Stabilization of coupled unstable semilinear reaction-advection-diffusion PDEs with spatially varying coefficients via event-triggered boundary feedback	0
Null-controllability for weakly dissipative heat-like equations	0
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system	0
Time periodic solution to a mechanochemical model in biological patterns	0
Optimal control problems for a neutral integro-differential system with infinite delay	0
On a second-order functional evolution problem with time and state dependent maximal monotone operators	0
Well-posedness and approximate controllability for some integrodifferential evolution systems with multi-valued nonlocal conditions	0
Pullback attractors for non-autonomous MGT-Fourier system	0
Local null controllability for a parabolic equation with local and nonlocal nonlinearities in moving domains	0

Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations	0
Dynamics of piezoelectric beams with magnetic effects and delay term	0
Exact controllability of degenerate wave equation in nondivergence form with interior control and drift	0
Global dynamics of Bazykin-type cross-diffusive model with indirect predator-taxis	0
Energy decay rate of the generalized Rao-Nakra beam with singular local Kelvin-Voigt damping	0
Stability and optimal control for an age-structured model of periodical cicadas	0
Some results on the behaviour of transfer functions at the right half plane	0
On the existence of mild solutions of some partial functional integrodifferential equations with non continuous state-dependent delay function	0
Pullback attractors for weak solution to modified Kelvin-Voigt model	0
Decay estimates for a perturbed two-terms space-time fractional diffusive problem	0
Controllability for Schrödinger type system with mixed dispersion on compact star graphs	0
Local existence and nonexistence for fractional semilinear parabolic systems with singular initial data	0
Qualitative analysis of certain reaction-diffusion systems of the FitzHugh-Nagumo type	0
Blow-up of solutions to a viscoelastic wave equation with nonlocal damping	0
Pointwise feedback stabilization of an unstable cascaded heat-heat system with different reaction coefficients	0
Optimal regional control for a class of semilinear fractional evolution equations	0
Exact boundary null controllability for a coupled system of plate equations with variable coefficients	0
On the singular limit of a boundary delayed Kuramoto-Sivashinsky-Korteweg-de Vries equation: Well-posedness and stability results	0
On the existence and continuity results for viscoelastic problem parabolic equations	0
Approximation of the set of integrable trajectories of the control system with $ L_2 $ norm constraints on control functions	0
Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling	0
On the well-posedness of a tensor-based second order PDE with bilateral term for image super-resolution	0
Improved boundary regularity for a Stokes-Lamé system	0
Long-time behaviour of the correlated random walk system	0
Continuous dependence and optimal control of a dynamic elastic-viscoplastic contact problem with non-monotone boundary conditions	0
Almost periodic type functions and densities	0
Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order <inline-formula><tex-math id="M1">$ \beta	0
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations	0
Invariant measure for neutral stochastic functional differential equations with non-Lipschitz coefficients	0
Approximate controllability of fractional neutral evolution systems of hyperbolic type	0
Cone-bounded feedback laws for linear second order systems	0
Hyers-Ulam stability result for Hilfer fractional integrodifferential stochastic equations with fractional noises and non-instantaneous impulses	0
Approximate controllability of nonconvex valued semilinear differential inclusion	0
Solution stability to parametric distributed optimal control problems with finite unilateral constraints	0
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $	0
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction	0
On the approximate boundary controllability of some partial functional integrodifferential equations with finite delay in Banach spaces	0
Existence and regularity of pullback attractors for a non-Newtonian fluid with delays in 2D unbounded domains	0
Impulsive conformable fractional stochastic differential equations with Poisson jumps	0
Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses	0
A general decay result for the Cauchy problem of plate equations with memory	0
Optimal control for stochastic differential equations and related Kolmogorov equations	0
On analytic semigroup generators involving Caputo fractional derivative	0
Inverse problem for abstract delay differential equation with impulsive effects	0
Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources	0
Stability for variable-coefficient wave equation with local frictional damping and memory type dynamic boundary conditions	0
Control of fractional in-time Schrodinger equations via comprehensive Caputo derivative strategies	0
The quadratic tracking problem for systems with persistent memory in $ \mathbb{R}^d $	0
Global exponential contraction of functional differential equations	0
Stabilization and parameter estimation for 1-D wave equation with variable coefficients and uncertain harmonic disturbances	0
On a class of differential quasi-variational-hemivariational inequalities in infinite-dimensional Banach spaces	0
Global behavior of solutions to the nonlocal in time reaction-diffusion equations	0
Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain	0
Mathematical analysis of an abstract model and its applications to structured populations (I)	0
Stability result of the Kawahara equation with localized damping and time-varying delay	0
Optimal control of McKean-Vlasov equations with controlled stochasticity	0
The global existence of the solution to the stage-structured SIR system for rumor spreading and its regularity	0
Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems	0
Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems	0
The necessary optimal condition of inverse heat source problem	0
Boundedness of solutions in a quasilinear chemo-repulsion system with nonlinear signal production	0
Exact boundary observability of a 1-dimensional degenerate wave equation on a time-varying domain	0
Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems	0
Approximate controllability for second-order stochastic neutral evolution equations with infinite delay	0
Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity	0
The continuous Redner-Ben-Avraham-Kahng coagulation system: Well-posedness and asymptotic behaviour	0
Blow-up for a pseudo-parabolic $ p $-Kirchhoff equation with logarithmic nonlinearity	0
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator	0
On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping	0
Von Karman thermoelastic plates: Existence and nonexistence of global solutions	0
Optimal feedback control results for a second-order evolution system with finite delay	0
Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law	0
Analysis of diffusive size-structured population model and optimal birth control	0
Existence and robustness results of attractors for partially-damped piezoelectric beams	0
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations	0
Long-time behavior of a size-structured population model with diffusion and delayed birth process	0
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator	0
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space	0
Identifiability of some space dependent coefficients in a wave equation of nonlinear acoustics	0
Nonlocal time delays reaction-diffusion problems of gradient flow type: Existence, stochastic homogenization	0
On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping	0
Global weak solutions to a doubly haptotactic cross-diffusion system with $ p $-Laplacian diffusion	0
Exact controllability of semilinear heat equations through a constructive approach	0
On time fractional pseudo-parabolic equations with nonlocal integral conditions	0
Boundedness in a flux-limited chemotaxis-haptotaxis model with nonlinear diffusion	0
Nonexistence for a time-fractional damped wave equation in an annulus	0
Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term	0
Null controllability of KdV equation in a star-shaped network	0
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	0
Density of weak solutions of the fractional Navier-Stokes equations in the smooth divergence-free vector fields	0
Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping	0
Existence of strong solutions for a compressible fluid-solid interaction system with Navier slip boundary conditions	0
A special form of solution to half-wave equations	0
Boundedness in an attraction-repulsion chemotaxis system with both nonlinear signal production and consumption	0
Global boundedness for a predator-prey model with nonlinear indirect pursuit-evasion effect	0