Differential inclusions in Banach space with nonconvex right-hand side. The existence of solutions

DOI10.1007/BF00967769zbMath0529.34058MaRDI QIDQ787371

A. A. Tolstonogov

Publication date: 1981

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

differential inclusionsBanach space

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60) Linear differential equations in abstract spaces (34G10) Differential inequalities involving functions of a single real variable (34A40)

Related Items

The Cauchy problem for fuzzy differential equations ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Set of solutions of a differential inclusion in Banach space. II ⋮ Set of solutions of a differential inclusion in Banach space. I

Cites Work

• Precompact contraction of metric uniformities, and the continuity of F(t,x)
• Integrals of set-valued functions
• Measurable relations
• On Continuous and Measurable Selections and the Existence of Solutions of Generalized Differential Equations
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