On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces

DOI10.1515/DEMA-2020-0052zbMath1474.45037OpenAlexW3039074752MaRDI QIDQ777004

Mohamed M. A. Metwali

Publication date: 13 July 2020

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2020-0052

zbMATH Keywords

initial value problemOrlicz spacesDarbo fixed point theoremnonlocal conditionsquadratic integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Applications of operator theory to differential and integral equations (47N20)

Related Items (7)

On the measure of noncompactness in $L_p(\mathbb{R}^+)$ and applications to a product of $n$-integral equations ⋮ On monotonic L_ϕ-solutions for a class of quadratic-Urysohn integral equations ⋮ On the existence of the solution of Hammerstein integral equations and fractional differential equations ⋮ Solvability of quadratic Hadamard-type fractional integral equations in Orlicz spaces ⋮ Solvability of the product of \(n\)-integral equations in Orlicz spaces ⋮ On fixed point theorems and applications to product of n-nonlinear integral operators in ideal spaces ⋮ On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations

Cites Work

• On solutions of quadratic integral equations in Orlicz spaces
• On quadratic integral equations in Orlicz spaces
• On a class of quadratic integral equations with perturbation
• Abel integral equations. Analysis and applications
• Compactness in measure and measure of noncompactness
• On applications of Orlicz spaces to statistical physics
• Existence of monotonic $L_\varphi$-solutions for quadratic Volterra functional-integral equations
• On the existence of solutions for quadratic integral equations in Orlicz spaces
• Strongly Nonlinear Equations of Hammerstein Type
• An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces
• Positive solutions of three-point nonlinear second order boundary value problem
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