Approximating Solutions of Third-Order Nonlinear Hybrid Differential Equations via Dhage Iteration Principle

DOI10.22034/KJM.2019.97175zbMath1449.34042OpenAlexW3007898597MaRDI QIDQ5212735

Abdelouaheb Ardjouni, Ahcene Djoudi

Publication date: 30 January 2020

Full work available at URL: http://www.kjm-math.org/article_97175_4f0895cb4388259d8103049f6f6095a4.pdf

zbMATH Keywords

initial value problemsDhage iteration principleapproximating solutionshybrid fixed point theorem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Applications of operator theory to differential and integral equations (47N20) Hybrid systems of ordinary differential equations (34A38)

Related Items (1)

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
• Approximating solutions of nonlinear hybrid differential equations
• Theory of Third-Order Differential Equations
• Hybrid fixed point theory in partially ordered normed linear spaces and applications to fractional integral equations
• Partially condensing mappings in partially ordered normed linar spaces and applications to functional integral equations

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