Existence of nondecreasing positive solutions for a system of singular integral equations

DOI10.1007/S00009-010-0095-3zbMath1232.45005OpenAlexW2005100376MaRDI QIDQ662632

Yaghoub Jalilian, Asadollah Aghajani

Publication date: 24 February 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0095-3

zbMATH Keywords

measure of noncompactnesspositive solutionsystem of singular integral equationssuperposition operator

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Integral equations with kernels of Cauchy type (45E05)

Related Items (6)

Some existence theorems for systems of equations involving condensing operators and applications ⋮ Existence of solutions of infinite systems of integral equations in two variables via measure of noncompactness ⋮ Existence of solutions for a class of system of functional integral equation via measure of noncompactness ⋮ Unnamed Item ⋮ Measure of Non-Compactness in The Study of Solutions for A System of Integral Equations ⋮ Generalizations of Darbo's fixed point theorem for new condensing operators with application to a functional integral equation

Cites Work

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• On linear singular Volterra integral equations of the second kind
• Second-order initial value problems of singular type
• Positive solutions to singular initial value problems with sign changing nonlinearities.
• Perturbation of linear abstract Volterra equations
• Singular Volterra integral equations
• Monotonicity properties of the superposition operator and their applications

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