How to approach nonstandard boundary value problems

DOI10.1007/s10688-016-0125-4zbMath1348.47069OpenAlexW2322315499MaRDI QIDQ302459

Boris Danilovich Gel'man

Publication date: 8 July 2016

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-016-0125-4

zbMATH Keywords

differential equationtopological dimensionclosed surjective operatorset-valued contraction mapping

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) Linear relations (multivalued linear operators) (47A06)

Cites Work

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• On the Cauchy problem for a class of degenerate differential equations with Lipschitz right-hand side
• Multivalued contractions
• On a class of operator equations.
• An infinite-dimensional version of the Borsuk-Ulam theorem
• Multi-valued contraction mappings
• Topological properties of the set of fixed points of a multivalued map
• On the topological dimension of the solution set of a class of nonlinear equations
• On the structure of the set of coincidence points

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