Existence solution of a system of differential equations using generalized Darbo's fixed point theorem

DOI10.3934/MATH.2021773OpenAlexW3199805398MaRDI QIDQ2142903

Yanyan Li

Publication date: 30 May 2022

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

Full work available at URL: https://doi.org/10.3934/math.2021773

zbMATH Keywords

differential equationscondensing operatorconcept of operatorsmeasure of noncompactness(MNC)triple fixed point(TFP)

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (2)

On the solution of generalized proportional Hadamard fractional integral equations ⋮ Existence of the solution via an iterative algorithm for two-dimensional fractional integral equations including an industrial application

Cites Work

• Unnamed Item
• Unnamed Item
• New generalizations of Darbo's fixed point theorem
• Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
• Measure of noncompactness and a generalized Darbo's fixed point theorem and its applications to a system of integral equations
• Solvability of generalized fractional order integral equations via measures of noncompactness
• Some fixed point theorems via measure of noncompactness with applications to differential equations
• Some generalizations of Darbo fixed point theorem and applications
• A generalization of Darbo's fixed point and common solutions of equations in Banach spaces
• A generalization of Darbo's theorem with application to the solvability of systems of integral equations
• Punti uniti in trasformazioni a codominio non compatto
• An extension of Darbo fixed point theorem and its applications to coupled fixed point and integral equations
• An extension of Darbo's theorem and its application to system of neutral differential equations with deviating argument
• Solvability of a system of integral equations of Volterra type in the Fréchet space lp loc(R+) via measure of noncompactness
• An extension of Darbo’s theorem and its application to existence of solution for a system of integral equations
• Solvability of infinite systems of differential equations in Banach sequence spaces

This page was built for publication: Existence solution of a system of differential equations using generalized Darbo's fixed point theorem