Solvability for generalized nonlinear functional integral equations in Banach spaces with applications

DOI10.1216/JIE.2021.33.19zbMath1476.45011OpenAlexW3168865796MaRDI QIDQ2039769

Yanyan Li

Publication date: 5 July 2021

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie.2021.33.19

zbMATH Keywords

Banach algebrafixed point theoremfunctional integral equation (FIE)measure of noncompactness (MNC)modified homotopy method (MHP)

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Applications of operator theory to differential and integral equations (47N20) Abstract integral equations, integral equations in abstract spaces (45N05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (9)

On the existence of solutions of non-linear 2D Volterra integral equations in a Banach space ⋮ Solvability of Gripenberg's equations of fractional order with perturbation term in weighted LpL_p-spaces on R+{\mathbb{R}}^+ ⋮ Solvability of quadratic Hadamard-type fractional integral equations in Orlicz spaces ⋮ Solvability for fractional integral equations via Petryshyn's fixed-point theorem ⋮ An existence result with numerical solution of nonlinear fractional integral equations ⋮ Existence and approximate solutions for Hadamard fractional integral equations in a Banach space ⋮ Solvability for two dimensional functional integral equations via Petryshyn's fixed point theorem ⋮ Application of fixed point theorem to solvability of functional stochastic integral equations ⋮ Application of Petryshyn's fixed point theorem of existence result for non-linear 2D Volterra functional integral equations

Cites Work

• Investigation on the existence of solutions for some nonlinear functional-integral equations
• Solutions of some functional-integral equations in Banach algebra
• He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind
• Existence of solutions for some nonlinear integral equations
• Study on existence of solutions for some nonlinear functional-integral equations
• Solving frontier problems of physics: the decomposition method
• On existence and asymptotic stability of solutions of a nonlinear integral equation
• Solvability of nonlinear quadratic integral equation by using simulation type condensing operator and measure of noncompactness
• Integral equations arising in the kinetic theory of gases
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