Semilinear inclusion with nonlocal conditions without compactness in non-reflexive spaces

DOI10.12775/TMNA.2016.061zbMath1365.34106OpenAlexW2529222362MaRDI QIDQ526143

Martin Väth, Irene Benedetti

Publication date: 8 May 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2016.061

zbMATH Keywords

nonlocal boundary conditionsemilinear differential inclusioncontainment resultfixed point theorems with weak topologyweak measure of noncompactnessweakly condensing map

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Almost and pseudo-almost periodic solutions to PDEs (35B15) Evolution inclusions (34G25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Semilinear parabolic equations (35K58) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (4)

Strong solutions and mild solutions for Sturm-Liouville differential inclusions ⋮ An approximation solvability method for nonlocal differential problems in Hilbert spaces ⋮ Existence results of semilinear differential variational inequalities without compactness ⋮ Integrated solutions of non-densely defined semilinear integro-differential inclusions: existence, topology and applications

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