Evolution Equations and Control Theory

Article	Citations
New results on controllability of fractional evolution systems with order $ \alpha\in (1,2) $	83
Results on controllability of non-densely characterized neutral fractional delay differential system	45
Decay rates for the Moore-Gibson-Thompson equation with memory	22
Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term	19
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling	17
On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay	16
A blow – up result for the semilinear Moore – Gibson – Thompson equation with nonlinearity of derivative type in the conservative case	15
Approximation theorems for controllability problem governed by fractional differential equation	14
Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space	14
Optimal control problems for a neutral integro-differential system with infinite delay	13
Approximate controllability of neutral delay integro-differential inclusion of order $ \alpha\in (1, 2) $ with non-instantaneous impulses	13
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity	13
Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy	11
On time fractional pseudo-parabolic equations with nonlocal integral conditions	10
Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor	10
Well-posedness of linear first order port-Hamiltonian Systems on multidimensional spatial domains	10
Pullback attractors for weak solution to modified Kelvin-Voigt model	9
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions	9
Dynamics of piezoelectric beams with magnetic effects and delay term	9
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations	9
Neutral delay Hilfer fractional integrodifferential equations with fractional brownian motion	8
$ (\omega,\mathbb{T}) $-periodic solutions of impulsive evolution equations	8
Persistence of superoscillations under the Schrödinger equation	8
Boundary null-controllability of coupled parabolic systems with Robin conditions	7
Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces	7

S-asymptotically $ \omega $-periodic mild solutions and stability analysis of Hilfer fractional evolution equations	7
A nonlocal Weickert type PDE applied to multi-frame super-resolution	7
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space	7
An inverse problem for the pseudo-parabolic equation with p-Laplacian	7
Stabilization of higher order Schrödinger equations on a finite interval: Part I	6
Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions	5
Well-posedness of infinite-dimensional non-autonomous passive boundary control systems	5
Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains	5
Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses	5
Periodic solutions and multiharmonic expansions for the Westervelt equation	5
Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with "fading memory"	5
Controllability results for second-order integro-differential equations with state-dependent delay	5
Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term	5
Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms	5
Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: Subordination principle	5
On a final value problem for a class of nonlinear hyperbolic equations with damping term	4
Local well-posedness of the coupled KdV-KdV systems on $ \mathbb{R} $	4
Null controllability for singular cascade systems of $ n $-coupled degenerate parabolic equations by one control force	4
The lifespan of solutions for a viscoelastic wave equation with a strong damping and logarithmic nonlinearity	4
On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping	4
A remark on the attainable set of the Schrödinger equation	4
The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization	4
Boundary null controllability for the heat equation with dynamic boundary conditions	4
Funnel control for boundary control systems	4
Impulsive conformable fractional stochastic differential equations with Poisson jumps	4
Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives	4
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass	4
Deterministic control of stochastic reaction-diffusion equations	4
Invariant measure for neutral stochastic functional differential equations with non-Lipschitz coefficients	4
Exact controllability of semilinear heat equations through a constructive approach	3
Improved boundary regularity for a Stokes-Lamé system	3
Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints	3
Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks	3
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations	3
Internal control for a non-local Schrödinger equation involving the fractional Laplace operator	3
Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials	3
On a beam model with degenerate nonlocal nonlinear damping	3
Controllability of retarded time-dependent neutral stochastic integro-differential systems driven by fractional Brownian motion	3
Approximate controllability of fractional neutral evolution systems of hyperbolic type	3
On a second-order functional evolution problem with time and state dependent maximal monotone operators	3
Approximate controllability of network systems	3
On periodic solutions to a class of delay differential variational inequalities	3
Linear subdiffusion in weighted fractional Hölder spaces	3
Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness	3
Decay estimates for a perturbed two-terms space-time fractional diffusive problem	3
On some damped 2 body problems	3
An anisotropic tempered fractional $ p $-Laplacian model involving logarithmic nonlinearity	3
On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping	3
A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity	3
Controlled singular evolution equations and Pontryagin type maximum principle with applications	3

Nonlinear continuous data assimilation	3
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure	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	2
Boundedness of solutions in a quasilinear chemo-repulsion system with nonlinear signal production	2
Uniform attractors of 3D Navier-Stokes-Voigt equations with memory and singularly oscillating external forces	2
Controllability for the wave equation on graph with cycle and delta-prime vertex conditions	2
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities	2
BV solutions of a convex sweeping process with a composed perturbation	2
Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources	2
Complete controllability for a class of fractional evolution equations with uncertainty	2
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction	2
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions	2
Pseudo $ S $-asymptotically Bloch type periodic solutions to a damped evolution equation	2
Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes	2
Hyers-Ulam stability result for Hilfer fractional integrodifferential stochastic equations with fractional noises and non-instantaneous impulses	2
Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator	2
Controllability of neutral stochastic functional integro-differential equations driven by fractional brownian motion with Hurst parameter lesser than $ 1/2 $	2
Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions	2
Qualitative analysis of certain reaction-diffusion systems of the FitzHugh-Nagumo type	2
Stabilization of port-Hamiltonian systems with discontinuous energy densities	2
Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations	2
Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a banach space	2
Controller and asymptotic autonomy of random attractors for stochastic p-Laplace lattice equations	2
Continuous dependence and optimal control of a dynamic elastic-viscoplastic contact problem with non-monotone boundary conditions	2
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $	2
Boundary controllability for a coupled system of degenerate/singular parabolic equations	2
Time periodic solution to chemotaxis-shallow water system in a periodic domain	2
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions	2
$ L^p $-exact controllability of partial differential equations with nonlocal terms	2
Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain	2
Approximate controllability of nonlocal problem for non-autonomous stochastic evolution equations	2
Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation	2
Stabilization of higher order Schrödinger equations on a finite interval: Part II	1
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping	1
A general decay result for the Cauchy problem of plate equations with memory	1
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator	1
A coupled problem described by time-dependent subdifferential operator and non-convex perturbed sweeping process	1
The Heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories	1
The method of extremal shift in control problems for evolution variational inequalities under disturbances	1
Asymptotic autonomy of random attractors for non-autonomous stochastic Navier-Stokes equations on bounded domains	1
Almost periodic type functions and densities	1
Optimal control for stochastic differential equations and related Kolmogorov equations	1
A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations	1
A Newtonian approach to general black holes	1
Decay rate of global solutions to three dimensional generalized MHD system	1
Memory approximate controllability properties for higher order Hilfer time-fractional evolution equations	1
Some results on the behaviour of transfer functions at the right half plane	1
New criteria for exponential stability in mean square of stochastic functional differential equations with infinite delay	1
On analytic semigroup generators involving Caputo fractional derivative	1
Impulsive hemivariational inequality for a class of history-dependent quasistatic frictional contact problems	1
Blow-up criteria for linearly damped nonlinear Schrödinger equations	1
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity	1
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force	1
Null boundary controllability for some biological and chemical diffusion problems	1
A shape optimization problem constrained with the Stokes equations to address maximization of vortices	1
Internal feedback stabilization for parabolic systems coupled in zero or first order terms	1
On the exact controllability for the Benney-Luke equation in a bounded domain	1
Well-posedness and regularization for Caputo fractional elliptic equation with nonlocal condition	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	1
Stability of a damped wave equation on an infinite star-shaped network	1
Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity	1
Singular integro-differential equations with applications	1
Partial approximate controllability results for fractional order stochastic evolution equations using approximation method	1
Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system	1
Boundedness in a flux-limited chemotaxis-haptotaxis model with nonlinear diffusion	1
Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting	1
Long-time behavior of a size-structured population model with diffusion and delayed birth process	1
Exponential stabilization of a linear Korteweg-de Vries equation with input saturation	1
Stability and stabilization for the three-dimensional Navier-Stokes-Voigt equations with unbounded variable delay	1
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations	1
Inverse problem for abstract delay differential equation with impulsive effects	1
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros	1
Von Karman thermoelastic plates: Existence and nonexistence of global solutions	1
Local null controllability of a class of non-Newtonian incompressible viscous fluids	1
Approximation of mild solutions of delay integro-differential equations on Banach spaces	1
Robustness for coupled inclusions with respect to variable exponents	1
Asymptotic analysis of an age-structured predator-prey model with ratio-dependent Holling Ⅲ functional response and delays	1
Well-posed control problems related to second-order differential inclusions	1
Solution stability to parametric distributed optimal control problems with finite unilateral constraints	1
Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations	1

Optimal time-decay rate of global classical solutions to the generalized compressible Oldroyd-B model	1
Well-posedness and stability of non-autonomous semilinear input-output systems	1
Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition	1
Optimal feedback control results for a second-order evolution system with finite delay	1
Optimal tubes for non-cylindrical Navier-Stokes flows with Navier boundary condition	1
Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems	1
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions	1
Identifiability of some space dependent coefficients in a wave equation of nonlinear acoustics	1
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces	1
On the singular limit of a boundary delayed Kuramoto-Sivashinsky-Korteweg-de Vries equation: Well-posedness and stability results	1
Continuous data assimilation and feedback control of fractional reaction-diffusion equations	1