Some notes on the existence of solution for ordinary differential equations via fixed point theory

DOI10.1155/2014/309613zbMath1469.54108OpenAlexW2118701874WikidataQ59038065 ScholiaQ59038065MaRDI QIDQ1723826

Fei He

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/309613

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (3)

Fixed point theorems with generalized altering distance functions in partially ordered metric spaces via \(w\)-distances and applications ⋮ Existence of solution for some two-point boundary value fractional differentialequations ⋮ The Picard theorem on \(S\)-metric spaces

Cites Work

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• Existence of solutions for a periodic boundary value problem via generalized weakly contractions
• A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations
• A generalization of Mizoguchi and Takahashi's theorem for single-valued mappings in partially ordered metric spaces
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Fixed point theorems for a class of \(\alpha\)-admissible contractions and applications to boundary value problem
• Fixed point theorems on ordered metric spaces through a rational contraction
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

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