Robust stability of the attractor of a nonlinear wave equation without uniqueness of the solution
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Publication:6147843
DOI10.1007/s10958-023-06648-yMaRDI QIDQ6147843
T. V. Yusypiv, Oleksiy V. Kapustyan
Publication date: 1 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Second-order semilinear hyperbolic equations (35L71)
Cites Work
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- Global attractors of impulsive parabolic inclusions
- Evolution inclusions and variation inequalities for earth data processing. III. Long-time behavior of evolution inclusions solutions in earth data analysis.
- On characterizations of the input-to-state stability property
- Approximate stabilization for a nonlinear parabolic boundary-value problem
- Local input-to-state stability: characterizations and counterexamples
- Solutions of Cauchy and periodic problems for evolution inclusions with multi-valued \(w_{\lambda_0}\)-pseudomonotone maps
- On attractors of multivalued semi-flows and differential inclusions
- Infinite-dimensional dynamical systems in mechanics and physics.
- Global attractors for damped semilinear wave equations.
- Invariance and stability of global attractors for multi-valued impulsive dynamical systems
- Global attractors in impulsive infinite-dimensional systems
- Asymptotic gain results for attractors of semilinear systems
- A local input-to-state stability result w.r.t. attractors of nonlinear reaction-diffusion equations
- Input-to-state stability of infinite-dimensional control systems
- Smooth stabilization implies coprime factorization
- Global attractors of multivalued semidynamical systems and their approximations
- Stability under perturbations for the attractor of a dissipative PDE-ODE-type system
