On solvability of implicit functional equations with applications to discontinuous differential equations

DOI10.1007/S10114-005-0558-9zbMath1103.39023OpenAlexW4242213149MaRDI QIDQ2431910

Seppo Heikkilä

Publication date: 24 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0558-9

zbMATH Keywords

functional equationinitial value problemordered Banach spacediscontinuous nonlinearityimplicit and explicit differential equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Functional-differential equations in abstract spaces (34K30) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (3)

Discontinuous first-order functional boundary value problems ⋮ A note on weakly isotone maps and common solutions for differential systems ⋮ Existence results for operator and differential equations and inclusions

Cites Work

• Existence results for operator equations in abstract spaces and an application
• Existence and comparison results for operator and differential equations in abstract spaces
• A method to solve discontinuous boundary value problems.
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