Solvability of functional integral equations in the Fréchet space \(C(\Omega)\)

DOI10.1007/s00009-016-0776-7zbMath1355.45006OpenAlexW2500501499MaRDI QIDQ346969

Smaïl Djebali, Latifa Benhamouche

Publication date: 30 November 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0776-7

zbMATH Keywords

stabilityfixed pointmeasure of noncompactnessVolterra integral equationFréchet spacenonlinear functional integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Stability theory for integral equations (45M10) Volterra integral equations (45D05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (4)

Existence results for a system of nonlinear operator equations and block operator matrices in locally convex spaces ⋮ Solvability of some fractional differential equations in the Hölder space \(\mathcal{H}_{\gamma}(\mathbb{R_+})\) and their numerical treatment via measures of noncompactness ⋮ Measures of noncompactness in the space of regulated functions \(R (J, \mathbb{R}^{\infty})\) and its application to some nonlinear Infinite systems of fractional differential equations ⋮ A family of measures of noncompactness in the Hölder space \(C^{n, \gamma}(\mathbb{R}_+)\) and its application to some fractional differential equations and numerical methods

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