Some notes on the existence of solution for ordinary differential equations via fixed point theory
type: Item
instance of: scholarly article
title: Some notes on the existence of solution for ordinary differential equations via fixed point theory
zbMATH Open document ID: 1469.54108
DOI: 10.1155/2014/309613
author: Fei He
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We establish a fixed point theorem with \(w\)-distance for nonlinear contractive mappings in complete metric spaces. As applications of our results, we derive the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions. Here, we need not assume that the equation has a lower solution.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 7022139
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/309613
OpenAlex ID: W2118701874
Wikidata QID: Q59038065
cites work: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
cites work: Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
cites work: Fixed point theorems for weakly contractive mappings in partially ordered sets
cites work: A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
cites work: A generalization of Mizoguchi and Takahashi's theorem for single-valued mappings in partially ordered metric spaces
cites work: Fixed point theorems on ordered metric spaces through a rational contraction
cites work: A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations
cites work: Existence of solutions for a periodic boundary value problem via generalized weakly contractions
cites work: Fixed point theorems for a class of \(\alpha\)-admissible contractions and applications to boundary value problem
cites work: Q4359066
description: scientific article; zbMATH DE number 7022139