An Application of Darbo Fixed-Point Theorem to a Class of Functional Integral Equations

DOI10.1080/01630563.2014.951771zbMath1316.45006OpenAlexW2029782829MaRDI QIDQ5251573

İsmet Özdemir, Ümit Çakan

Publication date: 20 May 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.951771

zbMATH Keywords

nonlinear integral equationsmeasure of noncompactnessfunctional integral equationscontinuous solutionDarbo fixed-point theorem

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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Cites Work

• Investigation on the existence of solutions for some nonlinear functional-integral equations
• Monotonic solutions of a quadratic integral equation of Volterra type
• Integral equations arising in the kinetic theory of gases
• Existence and global attractivity of solutions of a nonlinear functional integral equation