Solvability of infinite systems of singular integral equations in Fréchet space of continuous functions
From MaRDI portal
Publication:988248
DOI10.1016/j.camwa.2010.01.049zbMath1193.45013OpenAlexW2092895366MaRDI QIDQ988248
Publication date: 26 August 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.01.049
Applications of operator theory to differential and integral equations (47N20) Integral equations with kernels of Cauchy type (45E05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Related Items (14)
Existence of solutions for some classes of integro-differential equations in the Sobolev space \(W^{n,p}(\mathbb {R}_+)\) ⋮ Solvability of infinite system of nonlinear singular integral equations in the C(Itimes I, c) space and modified semi-analytic method to find a closed-form of solution ⋮ Existence of solutions of infinite systems of integral equations in two variables via measure of noncompactness ⋮ A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of a System of Nonlinear Functional Integral Equations of Volterra Type ⋮ Construction of a measure of noncompactness on \(BC(\Omega)\) and its application to Volterra integral equations ⋮ Krasnosel'skii-type fixed point theorems for convex-power condensing mappings in locally convex spaces ⋮ 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 ⋮ Existence of solutions for a class of Fredholm integral-differential equations via measure of noncompactness ⋮ MEASURES OF NONCOMPACTNESS IN A SOBOLEV SPACE AND INTEGRO-DIFFERENTIAL EQUATIONS ⋮ Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations ⋮ Construction of measures of noncompactness of \(DC^{n}[J,E\) and \(C^{n}_{0}[J,E]\) with application to the solvability of \(n\)th-order integro-differential equations in Banach spaces] ⋮ Application of measures of noncompactness to the system of integral equations ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- On some measures of noncompactness in the Fréchet spaces of continuous functions
- On existence of solutions of a neutral differential equation with deviation argument
- Existence principles for nonlinear resonant operator and integral equations
- An existence theorem for a class of infinite systems of integral equations
- Measures of noncompactness, Darbo maps and differential equations in abstract spaces
- On solutions of an infinite system of singular integral equations
- Sample solutions of stochastic ordinary differential equations∗
- Solvability of infinite systems of differential equations in Banach sequence spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Solvability of infinite systems of singular integral equations in Fréchet space of continuous functions
