A topological principle for retarded functional differential equations of Caratheodory type

DOI10.1016/0022-0396(81)90070-XzbMath0477.34048MaRDI QIDQ1160813

Krzysztof P. Rybakowski

Publication date: 1981

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

zbMATH Keywords

discontinuous right-hand sideCaratheodory mappingslocally Lipschitzian mappingsregular polyfacial setsWazewski principle

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (7)

Positive and oscillating solutions of differential equations with delay in critical case ⋮ Existence of strictly decreasing positive solutions of linear differential equations of neutral type ⋮ Retract principle for neutral functional differential equations ⋮ The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces ⋮ Asymptotic behaviour of a two-dimensional differential system with a finite number of nonconstant delays under the conditions of instability ⋮ Asymptotic behaviour of a two-dimensional differential system with delay under the conditions of instability ⋮ A topological approach to the existence of solutions for nonlinear differential equations with piecewise constant argument

Cites Work

• Unnamed Item
• Asymptotic behavior of Caratheodory systems: Anti-Lyapunov method
• Wazewski's principle for retarded functional differential equations
• Existence, uniqueness and continuous dependence for hereditary systems

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