Approximating solutions of nonlinear periodic boundary value problems with maxima

DOI10.1080/23311835.2016.1206699zbMath1438.34223OpenAlexW2466630278MaRDI QIDQ4966790

Bapurao C. Dhage

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1206699

zbMATH Keywords

approximation of solutionsdifferential equations with maximaDhage iteration method

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Theoretical approximation of solutions to functional-differential equations (34K07) Boundary value problems for functional-differential equations (34K10)

Cites Work

• Dhage iteration method for initial value problems for nonlinear first order hybrid integrodifferential equations
• Approximating positive solutions of PBVPs of nonlinear first order ordinary quadratic differential equations
• Basic theory for nonresonance impulsive periodic problems of first order
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Hybrid fixed point theory in partially ordered normed linear spaces and applications to fractional integral equations
• Quadratic perturbations of periodic boundary value problems of second order ordinary differential equations
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Partially condensing mappings in partially ordered normed linar spaces and applications to functional integral equations
• Fixed point theorems in ordered 𝐿-spaces
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