On the solvability of first-order discontinuous scalar initial and boundary value problems

DOI10.1017/S1446181100012906zbMath1041.34004OpenAlexW2041420918MaRDI QIDQ4430638

Ravi P. Agarwal, Seppo Heikkilä

Publication date: 12 October 2003

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100012906

zbMATH Keywords

initial value problemextremal solutionboundary value problemlower solutionupper solutiondiscontinuous scalar differential equation

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) Growth and boundedness of solutions to ordinary differential equations (34C11) Discontinuous ordinary differential equations (34A36)

Related Items (1)

Extremality results for first-order discontinuous functional differential equations

Cites Work

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• One-dimensional differential equations under weak assumptions
• Upper and lower solutions for first-order discontinuous ordinary differential equations
• 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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