Approximating positive solutions of PBVPs of nonlinear first order ordinary quadratic differential equations

DOI10.1016/j.aml.2015.02.023zbMath1328.34015OpenAlexW2064044575MaRDI QIDQ494265

Yong-Cai Geng, Sumit K. Garg

Publication date: 31 August 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.02.023

zbMATH Keywords

periodic boundary value problemapproximate positive solutionDhage iteration principlequadratic differential equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (6)

Unnamed Item ⋮ A coupled hybrid fixed point theorem involving the sum of two coupled operators in a partially ordered Banach space with applications ⋮ Approximating solutions of nonlinear periodic boundary value problems with maxima ⋮ Approximating positive solutions of nonlinear first order ordinary quadratic differential equations ⋮ Coupled and mixed coupled hybrid fixed point principles in a partially ordered Banach algebra and PBVPs of nonlinear coupled quadratic differential equations ⋮ Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras

Cites Work

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• Basic results on hybrid differential equations
• Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions
• Approximating solutions of nonlinear hybrid differential equations
• Approximating positive solutions of nonlinear first order ordinary quadratic differential equations
• Hybrid fixed point theory in partially ordered normed linear spaces and applications to fractional integral equations
• Global attractivity results for comparable solutions of nonlinear hybrid fractional integral equations
• Quadratic perturbations of periodic boundary value problems of second order ordinary differential equations
• Partially condensing mappings in partially ordered normed linar spaces and applications to functional integral equations

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