Construction of measures of noncompactness of \(C^k(Omega)\) and \(C^k_0\) and their application to functional integral-differential equations

Reza Arab, Reza Allahyari, Ali Shole Haghighi

Publication date: 25 October 2017

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://bims.iranjournals.ir/article_994.html

zbMATH Keywords

measure of noncompactness Darbo's fixed point theorem integral-differential equations arzela-ascoli theorem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) General theory of functional-differential equations (34K05)

Related Items (9)

Existence of solutions for some classes of integro-differential equations in the Sobolev space \(W^{n,p}(\mathbb {R}_+)\) ⋮ On a measure of noncompactness in the Holder space \(C^{k, \gamma}(\varOmega)\) and its application ⋮ The measure of noncompactness in a generalized coupled fixed point theorem and its application to an integro-differential system ⋮ Regular measures of noncompactness and Ascoli-Arzelà type compactness criteria in spaces of vector-valued functions ⋮ A system of high-order fractional differential equations with integral boundary conditions ⋮ Study on the integro-differential equations on \(C^1(\mathbb{R}_+)\) ⋮ Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations ⋮ Unnamed Item ⋮ A family of measures of noncompactness in the locally Sobolev spaces and its applications to some nonlinear Volterra integrodifferential equations

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