Solutions of Cauchy and periodic problems for evolution inclusions with multi-valued \(w_{\lambda_0}\)-pseudomonotone maps

DOI10.1016/j.jde.2010.05.008zbMath1216.47093OpenAlexW1965157603MaRDI QIDQ994292

J. Martínez

Publication date: 17 September 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.05.008

zbMATH Keywords

Cauchy problemperiodic solutionFaedo-Galerkin methoddifferential-operator inclusion\(\omega_{\lambda_0}\)-pseudomonotone multivalued map

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Periodic solutions to PDEs (35B10) Set-valued operators (47H04) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Variational and other types of inclusions (47J22)

Related Items (15)

Periodic solutions for nonlinear nonmonotone evolution inclusions ⋮ On Global Attractors for Autonomous Damped Wave Equation with Discontinuous Nonlinearity ⋮ Long-time behaviour of solutions for autonomous evolution hemivariational inequality with multidimensional ``reaction-displacement law ⋮ Robust stability of the attractor of a nonlinear wave equation without uniqueness of the solution ⋮ Multivalued dynamics of solutions of an autonomous differential-operator inclusion with pseudomonotone nonlinearity ⋮ Dynamics of solutions of a class of second-order autonomous evolution inclusions ⋮ Periodic solutions for nonlinear differential inclusions with multivalued perturbations ⋮ Partial differential inclusions of transport type with state constraints ⋮ Uniform global attractors for non-autonomous dissipative dynamical systems ⋮ Existence and regularity results for doubly nonlinear inclusions with nonmonotone perturbation ⋮ A note on multivalued \(W_{\lambda _{0}}\) pseudomonotone map ⋮ Dynamics of Solutions for Controlled Piezoelectric Fields with Multivalued “Reaction-Displacement” Law ⋮ On the existence of strongly continuous physical solutions for classes of autonomous evolutionary variational inequalities ⋮ Lyapunov type functions for classes of autonomous parabolic feedback control problems and applications ⋮ Fan-hemicontinuity for the gradient of the norm in Hilbert space

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