The technique of measures of noncompactness in Banach algebras and its applications to integral equations

DOI10.1155/2013/537897zbMath1275.45003OpenAlexW2004694822WikidataQ58917070 ScholiaQ58917070MaRDI QIDQ370030

Józef Banaś, Szymon Dudek

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/537897

zbMATH Keywords

measures of noncompactnessnonlinear functional integral equations

Mathematics Subject Classification ID

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

Related Items (6)

Fixed point theorems in Fréchet algebras and Fréchet spaces and applications to nonlinear integral equations ⋮ A fixed point result in Banach algebras based on the degree of nondensifiability and applications to quadratic integral equations ⋮ Existence and stability of solutions for a system of quadratic integral equations in Banach algebras ⋮ Continuous dependence of the solutions of nonlinear integral quadratic Volterra equation on the parameter ⋮ On a weakly singular quadratic integral equations of Volterra type in Banach algebras ⋮ New classes of condensing operators and application to solvability of singular integral equations

Cites Work

• Solutions of some functional-integral equations in Banach algebra
• New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations
• Measures of noncompactness in the study of asymptotically stable and ultimately nondecreasing solutions of integral equations
• On a class of measures of noncompactness in Banach algebras and their application to nonlinear integral equations
• Existence theorems for an integral equation of the Chandrasekhar H- equation with perturbation
• Existence theorems for some quadratic integral equations
• On existence and asymptotic stability of solutions of a nonlinear integral equation
• On a fixed point theorem in Banach algebras with applications
• On quadratic integral equation of fractional orders
• Integral equations arising in the kinetic theory of gases
• Quadratic equations and applications to Chandrasekhar's and related equations
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