Quasi-solutions and monotone method for infinite systems of nonlinear boundary value problems

DOI10.1016/0362-546X(83)90014-7zbMath0567.34017OpenAlexW2051850094MaRDI QIDQ3682791

M. Paul Devasahayam, Kaustuv Mukul Das

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90014-7

zbMATH Keywords

comparison theoremsextremal solutionsinfinite dimensional systems of nonlinear boundary value problemsquasi-monotone property

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (3)

Existence of monotone solutions for functional differential equations ⋮ A monotone method for the equation \(u_{xyz}=f\) ⋮ Monotone method for a system of second order periodic boundary value problems

Cites Work

• Quasi-solutions and monotone method for systems of nonlinear boundary value problems
• Differential inequalities for infinite second order systems and an application to the method of lines
• A monotone method for quasilinear boundary value problems
• Minimal and maximal solutions of nonlinear boundary value problems
• A monotone method for infinite systems of nonlinear boundary value problems
• An introduction to nonlinear boundary value problems
• The extendability of solutions of perturbed scalar differential equations
• Quasi-solutions and their role in the qualitative theory of differential equations

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