Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators

DOI10.1186/S13663-015-0472-5zbMath1428.47020OpenAlexW2187233777WikidataQ59402640 ScholiaQ59402640MaRDI QIDQ288289

Rubén Figueroa Sestelo, Rodrigo López Pouso

Publication date: 25 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0472-5

zbMATH Keywords

first-order differential equationsdiscontinuous operatorsSchauder-type fixed-point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Discontinuous ordinary differential equations (34A36)

Related Items (2)

Existence and uniqueness of solutions for systems of discontinuous differential equations under localized Bressan-Shen transversality conditions ⋮ Fixed point theorems in partially ordered topological spaces with applications

Cites Work

• Unnamed Item
• Schauder's fixed-point theorem: new applications and a new version for discontinuous operators
• Non-autonomous scalar discontinuous ordinary differential equation
• First-order singular and discontinuous differential equations
• Existence of unique solutions for perturbed autonomous differential equations
• Ordinary differential equations and systems with time-dependent discontinuity sets
• On the Cauchy problem for first order discontinuous ordinary differential equations

This page was built for publication: Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators