Solvability of the product of \(n\)-integral equations in Orlicz spaces

DOI10.1007/s12215-023-00916-1MaRDI QIDQ6144963

Kinga Chichon, Mohamed M. A. Metwali

Publication date: 30 January 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

measure of noncompactnessOrlicz spacesDarbo fixed point theoremsproduct of \(n\)-integral equations

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Applications of operator theory to differential and integral equations (47N20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Second order three-point boundary value problems in abstract spaces
• On solutions of quadratic integral equations in Orlicz spaces
• On quadratic integral equations in Orlicz spaces
• A multi-group SIR epidemic model with age structure
• On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces
• Weakly singular Hammerstein-Volterra operators in Orlicz and Hölder spaces
• Solvability of a \(q\)-fractional integral equation arising in the study of an epidemic model
• Compactness in measure and measure of noncompactness
• On positive solutions of a system of equations generated by Hadamard fractional operators
• On applications of Orlicz spaces to statistical physics
• Constant-sign solutions of a system of Volterra integral equations in Orlicz spaces
• Existence of monotonic $L_\varphi$-solutions for quadratic Volterra functional-integral equations
• On the existence of solutions for quadratic integral equations in Orlicz spaces
• On the formulation of epidemic models (an appraisal of Kermack and McKendrick)
• On some epidemic models
• Strongly Nonlinear Equations of Hammerstein Type
• On some fixed point theorems in abstract duality pairs
• Generalized H\"{o}lder's Inequality in Orlicz Spaces
• Integrable solutions of a nonlinear integral equation related to some epidemic models
• Integral operators on the product of \(C(K)\) spaces.

This page was built for publication: Solvability of the product of \(n\)-integral equations in Orlicz spaces