Evolution Equations and Control Theory

Papers
(The median citation count of Evolution Equations and Control Theory is 1. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations17
Null controllability of $ \psi$ - Hilfer implicit fractional integro-differential equations with $ \psi $-Hilfer fractional nonlocal conditions17
Stability of a damped wave equation on an infinite star-shaped network15
Asymptotic autonomy of random attractors for non-autonomous stochastic Navier-Stokes equations on bounded domains13
Robustness of output feedback control for a wave-ODE cascaded system to the input delay mismatch13
Nonexponential and polynomial decay of a thermoelastic Bresse system in the absence of the second spectrum10
Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point10
Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials10
Robustness of global attractors: Abstract framework and application to dissipative wave equations9
Well-posed control problems related to second-order differential inclusions9
Well-posedness and regularization for Caputo fractional elliptic equation with nonlocal condition8
Exponential stabilization of the problem of transmission of wave equation with linear dynamical feedback control8
Persistence of superoscillations under the Schrödinger equation7
The Heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories7
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system7
Robustness for coupled inclusions with respect to variable exponents6
Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes6
Local null controllability of a class of non-Newtonian incompressible viscous fluids5
On Bochner's almost-periodicity criterion5
Dispersive decay bound of small data solutions to higher order KdV-type equations with low order nonlinearity5
Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains5
Controllability results for second-order integro-differential equations with state-dependent delay5
Approximate controllability of neutral delay integro-differential inclusion of order $ \alpha\in (1, 2) $ with non-instantaneous impulses5
Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator5
Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping4
On the decay of a porous thermoelastic system with thermal dissipation and delay term4
Multiplicative controllability of the reaction-diffusion equation on a parallelepiped with finitely many hyperplanes of change of sign4
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 indices4
Kato's inequality for <inline-formula><tex-math id="M1">$ m $</tex-math></inline-formula>-Laplace operator on locally finite graphs and applications4
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass4
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption and logistic source4
Boundedness and stabilization in a haptotaxis model of oncolytic virotherapy with nonlinear sensitivity4
Null boundary controllability for some biological and chemical diffusion problems4
An inverse problem for the pseudo-parabolic equation with p-Laplacian4
Internal control for a non-local Schrödinger equation involving the fractional Laplace operator4
Nonlinear continuous data assimilation4
Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis4
On a beam model with degenerate nonlocal nonlinear damping4
Controller and asymptotic autonomy of random attractors for stochastic p-Laplace lattice equations4
Boundary exact controllability for the longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros4
Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure3
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity3
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling3
Continuity in the fractional order and convergence results for pseudo-parabolic equations with fractional derivative and exponential non-linearity3
Continuous data assimilation and feedback control of fractional reaction-diffusion equations3
Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations3
Linear subdiffusion in weighted fractional Hölder spaces3
Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour3
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity3
Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness3
Exact controllability of wave equations with internal control in moving boundary domain3
Stochastic monotone inclusion with closed loop distributions3
On periodic solutions to a class of delay differential variational inequalities3
Sufficient maximum principle for partially observed mean-field stochastic optimal control problems with delays3
Riccati-based solution to the optimal control of linear evolution equations with finite memory3
Controlled singular evolution equations and Pontryagin type maximum principle with applications3
Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data3
Stability of exponential attractors for singularly perturbed phase-field systems of Oono type3
Observability of dispersive equations from line segments on the torus3
The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization3
On the Cauchy problem for a derivative nonlinear Schrödinger equation with nonvanishing boundary conditions3
A canonical model of the one-dimensional dynamical Dirac system with boundary control3
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth3
Local exact controllability to constant trajectories for Navier-Stokes-Korteweg model2
$ L^p $-exact controllability of partial differential equations with nonlocal terms2
Stability properties for a problem of light scattering in a dispersive metallic domain2
Local proximal algorithms in Riemannian manifolds: Application to the behavioral traveler's problem2
Qualitative behavior of solutions for a chemotaxis-haptotaxis model with flux limitation2
Mild solution and finite-approximate controllability of higher-order fractional integrodifferential equations with nonlocal conditions2
Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay2
Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: Subordination principle2
Local well-posedness of the coupled KdV-KdV systems on $ \mathbb{R} $2
Optimal polynomial thermoelastic stability of a composite material2
$ (\omega,\mathbb{T}) $-periodic solutions of impulsive evolution equations2
Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation2
Global boundedness of a density-dependent SIRS epidemic model with nonlinear infection mechanism2
Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives2
A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity2
Optimal harvesting for a logistic model with grazing2
Singular limits and dynamics for the abstract Timoshenko system2
Analysis of nonlinear fractional diffusion equations with a Riemann-liouville derivative2
Second order dynamical systems governed by maximally monotone operators: Quantitative stability2
Complete controllability for a class of fractional evolution equations with uncertainty2
Local null-controllability of a two-parabolic nonlinear system with coupled boundary conditions by a Neumann control2
Unique mild solution for Caputo's fractional perturbed evolution equations with state-dependent delay2
Exponential stability for a multi-particle system with piecewise interaction function and stochastic disturbance2
Global-in-time solutions and Hölder continuity for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale2
Impulsive hemivariational inequality for a class of history-dependent quasistatic frictional contact problems2
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations2
Sweeping process with unbounded delayed perturbation1
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation1
Optimal control problems governed by Marguerre–von Kármán evolution equations with long memory1
Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces1
Uniformly exponentially stable finite-difference model reduction of heat and piezoelectric beam interactions with static or hybrid feedback controllers1
Neutral delay Hilfer fractional integrodifferential equations with fractional brownian motion1
Stochastic optimal switching and systems of variational inequalities with interconnected obstacles1
Singular integro-differential equations with applications1
Motion planning problem for a class of hyperbolic PDEs1
A class of viscoelastic evolution equation on manifolds with conical singularities1
A kind of observer-based active disturbance rejection control method for the stabilization of a class of Timoshenko beams1
Solvability of doubly nonlinear parabolic equation with <i>p</i>-laplacian1
A note on control of one-dimensional heterogeneous reaction-diffusion equations1
Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces1
On a stochastic differential equation with correction term governed by a monotone and Lipschitz continuous operator1
Control of a flexible satellite with an internal nonlinear disturbance1
Approximate controllability of nonconvex valued semilinear differential inclusion1
Optimal tubes for non-cylindrical Navier-Stokes flows with Navier boundary condition1
A Newtonian approach to general black holes1
Stabilization for some degenerate wave equations1
Stability analysis of partially viscoelastic Reissner-Mindlin-Timoshenko plates1
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations1
Energy decay rate of the generalized Rao-Nakra beam with singular local Kelvin-Voigt damping1
On a second-order functional evolution problem with time and state dependent maximal monotone operators1
Envelope, singular solution, and finite-time stability1
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space1
Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks1
Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation1
Non-unique stationary solutions of even active scalar equations1
Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a banach space1
Non-autonomous 2D Newton-Boussinesq equation with oscillating external forces and its uniform attractor1
On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping1
Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition1
Blow-up of solutions to semilinear wave equations with a time-dependent strong damping1
Explicit convergence rate of the proximal point algorithm under R-continuity1
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement1
Pullback attractors for non-autonomous MGT-Fourier system1
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions1
Effective filtering for slow-fast systems via Wong-Zakai approximation1
Dynamics of piezoelectric beams with magnetic effects and delay term1
Exponential stabilization of a linear Korteweg-de Vries equation with input saturation1
Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints1
Exact controllability and stabilization for a general internal wave system of Benjamin-Ono type1
Global exponential contraction of functional differential equations1
Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources1
On time fractional pseudo-parabolic equations with nonlocal integral conditions1
Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with "fading memory"1
An anisotropic tempered fractional $ p $-Laplacian model involving logarithmic nonlinearity1
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations1
Pseudo $ S $-asymptotically Bloch type periodic solutions to a damped evolution equation1
Stabilization of port-Hamiltonian systems with discontinuous energy densities1
Impulsive conformable fractional stochastic differential equations with Poisson jumps1
On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime1
Controllability, decay of solutions and numerical simulations for a quasi-linear equation1
Optimal control problems for a neutral integro-differential system with infinite delay1
(<i>L<sup>p</sup></i>, <i>L<sup>q</sup></i>) Hyers-Ulam stability1
Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces1
Decay of solutions for second gradient viscoelasticity with type Ⅱ heat conduction1
Memory approximate controllability properties for higher order Hilfer time-fractional evolution equations1
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates1
Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system1
Regularity results for degenerate wave equations in a neighborhood of the boundary1
Optimal control for stochastic differential equations and related Kolmogorov equations1
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