Existence of solutions for generalized differential equations with unbounded right-hand side

DOI10.1016/0022-0396(86)90109-9zbMath0582.34002OpenAlexW2002820153MaRDI QIDQ1069011

F. S. van Vleck, C. J. Himmelberg

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90109-9

zbMATH Keywords

orientor fieldsinitial value problemCarathéodory type conditionsweak integral boundedness conditions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (10)

Viable trajectories of nonconvex differential inclusions ⋮ Differential inclusions with mixed semicontinuity properties in a Banach space ⋮ A nonautonomous Olech type result ⋮ The Cauchy problem for fuzzy differential equations ⋮ Solutions of a differential inclusion with unbounded right-hand side ⋮ Existence of solutions for operator inclusions: A unified approach ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Global existence of solutions of differential inclusions ⋮ An existence theorem for inclusions of the type and application to a multivalued boundary value problem ⋮ Scorza-Dragoni's theorem for multi-valued mappings with variable domain of definition

Cites Work

• On differential relations with lower continuous right-hand side: An existence theorem
• Convex analysis and measurable multifunctions
• Continuous selections and differential relations
• The existence of solutions of generalized differential equations
• Measurable relations
• Measurable selectors of multifunctions and applications
• Survey of Measurable Selection Theorems
• On the Approximation of Integrals of Multivalued Functions
• Properties of the solution set of a generalized differential equation
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