Evolution Equations and Control Theory

Papers
(The TQCC of Evolution Equations and Control Theory is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)
ArticleCitations
New results on controllability of fractional evolution systems with order $ \alpha\in (1,2) $69
Results on controllability of non-densely characterized neutral fractional delay differential system44
Decay rates for the Moore-Gibson-Thompson equation with memory18
Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term15
A blow – up result for the semilinear Moore – Gibson – Thompson equation with nonlinearity of derivative type in the conservative case15
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling14
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity13
Optimal control problems for a neutral integro-differential system with infinite delay13
On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay12
Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy11
On time fractional pseudo-parabolic equations with nonlocal integral conditions11
Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space10
Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor9
Dynamics of piezoelectric beams with magnetic effects and delay term9
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations9
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions8
Approximation theorems for controllability problem governed by fractional differential equation8
Approximate controllability of neutral delay integro-differential inclusion of order $ \alpha\in (1, 2) $ with non-instantaneous impulses8
Boundary null-controllability of coupled parabolic systems with Robin conditions7
$ (\omega,\mathbb{T}) $-periodic solutions of impulsive evolution equations7
Neutral delay Hilfer fractional integrodifferential equations with fractional brownian motion7
Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces7
Pullback attractors for weak solution to modified Kelvin-Voigt model6
Persistence of superoscillations under the Schrödinger equation6
Stabilization of higher order Schrödinger equations on a finite interval: Part I5
Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains5
The lifespan of solutions for a viscoelastic wave equation with a strong damping and logarithmic nonlinearity5
Periodic solutions and multiharmonic expansions for the Westervelt equation5
Well-posedness of linear first order port-Hamiltonian Systems on multidimensional spatial domains5
Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms5
A nonlocal Weickert type PDE applied to multi-frame super-resolution4
Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term4
S-asymptotically $ \omega $-periodic mild solutions and stability analysis of Hilfer fractional evolution equations4
Well-posedness of infinite-dimensional non-autonomous passive boundary control systems4
Null controllability for singular cascade systems of $ n $-coupled degenerate parabolic equations by one control force4
On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping4
On a second-order functional evolution problem with time and state dependent maximal monotone operators4
Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: Subordination principle4
An inverse problem for the pseudo-parabolic equation with p-Laplacian4
A remark on the attainable set of the Schrödinger equation4
Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with "fading memory"4
On a beam model with degenerate nonlocal nonlinear damping4
Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain3
Approximate controllability of fractional neutral evolution systems of hyperbolic type3
Impulsive conformable fractional stochastic differential equations with Poisson jumps3
Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives3
Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions3
Improved boundary regularity for a Stokes-Lamé system3
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space3
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations3
Deterministic control of stochastic reaction-diffusion equations3
Funnel control for boundary control systems3
On a final value problem for a class of nonlinear hyperbolic equations with damping term3
A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity3
Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness3
Approximate controllability of nonlocal problem for non-autonomous stochastic evolution equations2
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass2
Controller and asymptotic autonomy of random attractors for stochastic p-Laplace lattice equations2
Boundary null controllability for the heat equation with dynamic boundary conditions2
Uniform attractors of 3D Navier-Stokes-Voigt equations with memory and singularly oscillating external forces2
Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions2
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions2
Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints2
Local well-posedness of the coupled KdV-KdV systems on $ \mathbb{R} $2
Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks2
Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations2
Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes2
Linear subdiffusion in weighted fractional Hölder spaces2
Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems2
Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations2
The Cauchy problem for the critical inhomogeneous nonlinear Schrödinger equation in $ H^{s}(\mathbb R^{n}) $2
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities2
BV solutions of a convex sweeping process with a composed perturbation2
Pseudo $ S $-asymptotically Bloch type periodic solutions to a damped evolution equation2
Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a banach space2
$ L^p $-exact controllability of partial differential equations with nonlocal terms2
The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization2
On periodic solutions to a class of delay differential variational inequalities2
Controlled singular evolution equations and Pontryagin type maximum principle with applications2
Internal control for a non-local Schrödinger equation involving the fractional Laplace operator2
Boundedness of solutions in a quasilinear chemo-repulsion system with nonlinear signal production2
Exact controllability of semilinear heat equations through a constructive approach2
On some damped 2 body problems2
Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources2
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions2
Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation2
Complete controllability for a class of fractional evolution equations with uncertainty2
Approximate controllability of network systems2
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