Existence for nonlinear evolution inclusions with nonlocal retarded initial conditions

DOI10.1016/j.na.2011.07.025zbMath1232.34093OpenAlexW2091284711MaRDI QIDQ642570

Ioan I. Vrabie

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.025

zbMATH Keywords

differential inclusionporous media equationcompact semigroup\(m\)-dissipative operatorfunctional retarded differential inclusionnonlocal retarded initial condition

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Functional-differential equations in abstract spaces (34K30) Functional-differential inclusions (34K09)

Related Items (15)

Almost periodic solutions for nonlinear delay evolutions with nonlocal initial conditions ⋮ An existence result for a class of delay inclusions involving measures, subjected to nonlocal initial data ⋮ Non-autonomous evolution inclusions with nonlocal history conditions: global integral solutions ⋮ A study on non-autonomous second order evolution equations with nonlocal conditions ⋮ Pseudo-almost periodic C⁰ solutions to the evolution equations with nonlocal initial conditions ⋮ Semilinear Delay Evolution Equations with Nonlocal Initial Conditions ⋮ Nonlinear evolution inclusions: topological characterizations of solution sets and applications ⋮ Global attractor for a class of functional differential inclusions with Hille-Yosida operators ⋮ Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces ⋮ Existence in the large for nonlinear delay evolution inclusions with nonlocal initial conditions ⋮ Global solutions for nonlinear delay evolution inclusions with nonlocal initial conditions ⋮ A class of nonlinear delay evolution equations with nonlocal initial conditions ⋮ Mild solutions of non-autonomous second order problems with nonlocal initial conditions ⋮ Multi-valued nonlinear perturbations of time fractional evolution equations in Banach spaces ⋮ Delay evolution equations with mixed nonlocal plus local initial conditions

Cites Work

• Existence and asymptotic stability of periodic solution for evolution equations with delays
• Existence and uniqueness of periodic solution for a class of semilinear evolution equations
• A class of nonlinear evolution equations subjected to nonlocal initial conditions
• Existence and attractivity results for a class of degenerate functional- parabolic problems
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• Existence for reaction diffusion systems. A compactness method approach
• Periodic solutions of nonlinear evolution inclusions
• Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems
• Semi-linear second-order elliptic equations in \(L^1\)
• Existence results for a class of abstract nonlocal Cauchy problems
• Periodic solutions for a class of differential inclusions in general Banach spaces
• Existence results and asymptotic behavior for nonlocal abstract Cauchy problems
• Multivalued evolution equations with nonlocal initial conditions in Banach spaces
• Nonlinear nonlocal Cauchy problems in Banach spaces
• INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS
• Periodic Solutions for Nonlinear Evolution Equations in a Banach Space
• Remarks on Weak Compactness in L₁(μ,X)
• Existence of Periodic Solutions for Nonlinear Evolution Equations in Hilbert Spaces
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
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