Nonordered discontinuous upper and lower solutions for first-order ordinary differential equations

DOI10.1016/S0362-546X(99)00347-8zbMath1001.34001OpenAlexW2030029621MaRDI QIDQ5946004

Rodrigo López Pouso

Publication date: 10 December 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00347-8

zbMATH Keywords

upper and lower solutionsCarathéodory conditions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Discontinuous ordinary differential equations (34A36)

Related Items (5)

First order differential systems with a nonlinear boundary condition via the method of solution-regions ⋮ Existence and multiplicity results for systems of first-order differential equations via the method of solution-regions ⋮ A constructive approach towards the method of solution-regions ⋮ Extremal solutions of measure differential equations ⋮ The method of coupled fixed points and coupled quasisolutions when working with ODE's with arguments of bounded variation

Cites Work

• A generalized upper and lower solutions method and multiplicity results for nonlinear first-order ordinary differential equations
• Upper and lower solutions with jumps
• Integration in linear spaces
• A new extension of classical Müller's theorem
• Continuous Dependence of Nonmonotonic Discontinuous Differential Equations
• Extremal solutions of a discontinuous scalar differential equation
• A unified theory for first-order discontinuous scalar differential equations
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