Upper and lower solutions for first-order discontinuous ordinary differential equations

DOI10.1006/jmaa.2000.6717zbMath0962.34008OpenAlexW2018867836MaRDI QIDQ1978810

Rodrigo López Pouso

Publication date: 14 December 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6717

zbMATH Keywords

upper and lower solutionsinitial value problemboundary value problemdiscontinuous differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Discontinuous ordinary differential equations (34A36)

Related Items (10)

Existence and approximation of solutions for discontinuous functional differential equations ⋮ Nonlinear boundary value problems for discontinuous delayed differential equations ⋮ A survey of recent results for the generalizations of ordinary differential equations ⋮ Existence and Stability of Solutions for Linear and Nonlinear Stieltjes Differential Equations ⋮ Discontinuous first-order functional boundary value problems ⋮ Extremal solutions of measure differential equations ⋮ Extremality and comparison results for discontinuous third order functional initial-boundary value problems ⋮ On the solvability of first-order discontinuous scalar initial and boundary value problems ⋮ First-order singular and discontinuous differential equations ⋮ Extremality results for first-order discontinuous functional differential equations

Cites Work

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• 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
• 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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