On a multi-valued differential equation: An existence theorem

DOI10.3792/pjaa.60.161zbMath0549.49006OpenAlexW2063742359WikidataQ115219961 ScholiaQ115219961MaRDI QIDQ800618

Toru Maruyama

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.161

zbMATH Keywords

Ky-Fan's fixed point theoremmultivalued differential equation

Mathematics Subject Classification ID

Controllability (93B05) Fixed-point and coincidence theorems (topological aspects) (54H25) Methods involving semicontinuity and convergence; relaxation (49J45) Ordinary differential inclusions (34A60) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items

New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ A generalization of the weak convergence theorem in Sobolev spaces with application to differential inclusions in a Banach space ⋮ Variational problems governed by a multi-valued differential equation ⋮ A weak convergence theorem in Sobolev spaces with application to Filippov's evolution equations

Cites Work

• Variational problems governed by a multi-valued differential equation
• On multivalued evolution equations in Hilbert spaces
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
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