INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS
From MaRDI portal
Publication:3067173
DOI10.1142/S021919971000410XzbMath1217.34103OpenAlexW2078852308MaRDI QIDQ3067173
García Falset, Jesús, Simeon Reich
Publication date: 20 January 2011
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021919971000410x
accretive operatorfixed pointevolution equationstrong solutionsnonlocal conditionsintegral solutionsRadon-Nikodym
Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Fixed-point theorems (47H10) Evolution inclusions (34G25)
Related Items
Structure of solution sets to the nonlocal problems ⋮ On generalized boundary value problems for a class of fractional differential inclusions ⋮ Abstract reaction-diffusion systems with nonlocal initial conditions ⋮ Semilinear delay evolution equations with measures subjected to nonlocal initial conditions ⋮ Applications of the Bielecki renorming technique ⋮ 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 ⋮ Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Limited data X-ray tomography using accretive operators ⋮ Hybrid fixed point theorems with application to fractional evolution equations ⋮ Pseudo-almost periodic C0 solutions to the evolution equations with nonlocal initial conditions ⋮ Semilinear Delay Evolution Equations with Nonlocal Initial Conditions ⋮ Properties of the solutions set for a class of nonlinear evolution inclusions with nonlocal conditions ⋮ Existence and uniqueness results for a nonlinear evolution equation arising in growing cell populations ⋮ Existence for nonlinear evolution inclusions with nonlocal retarded initial conditions ⋮ Exact controllability of fractional order evolution equations in Banach spaces ⋮ Existence of solutions for a class of nonlinear evolution inclusions with nonlocal conditions ⋮ Existence in the large for nonlinear delay evolution inclusions with nonlocal initial conditions ⋮ Mild solutions of nonlocal semilinear evolution equations on unbounded intervals via approximation solvability method in reflexive Banach spaces ⋮ Existence results for some nonlocal partial integrodifferential equations without compactness or equicontinuity ⋮ Global solutions for nonlinear delay evolution inclusions with nonlocal initial conditions ⋮ A class of nonlinear delay evolution equations with nonlocal initial conditions ⋮ A class of nonlinear evolution equations subjected to nonlocal initial conditions ⋮ Domains of accretive operators in Banach spaces ⋮ Non-autonomous second order differential inclusions with a stabilizing effect ⋮ An existence principle for variational inequalities in Banach spaces ⋮ Delay evolution equations with mixed nonlocal plus local initial conditions
Cites Work
- Unnamed Item
- Existence results for nonlinear nonlocal problems in Banach spaces
- Existence of fixed points and measures of weak noncompactness
- Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
- Extension problems for accretive sets in Banach spaces
- Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
- Functional differential equations with nonlocal initial conditions
- Existence results for a class of abstract nonlocal Cauchy problems
- Uniqueness criterion for solution of abstract nonlocal Cauchy problem
- Periodic solutions for a class of differential inclusions in general Banach spaces
- Existence results and asymptotic behavior for nonlocal abstract Cauchy problems
- There is an equivalent norm on \(\ell_1\) that has the fixed point property
- Nonlinear nonlocal Cauchy problems in Banach spaces
- Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
- Nonlinear semigroups and evolution equations
- Fixed points of condensing functions
- Nonlinear differential equations with nonlocal conditions in Banach spaces
- Nonlinear accretive operators in Banach spaces
This page was built for publication: INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS