Singular Volterra integral equations

DOI10.1016/S0893-9659(99)00154-8zbMath0947.45006MaRDI QIDQ1972456

Ravi P. Agarwal, Donal O'Regan

Publication date: 1 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

nonnegative solutionsingular initial value problemsingular nonlinear Volterra integral equation

Mathematics Subject Classification ID

Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20)

Related Items (13)

The existence of fixed points via the measure of noncompactness and its application to functional-integral equations ⋮ Existence of solutions for a class of system of functional integral equation via measure of noncompactness ⋮ The solvability of a class of system of nonlinear integral equations via measure of noncompactness ⋮ Existence of nondecreasing positive solutions for a system of singular integral equations ⋮ Constant-sign solutions of a system of Volterra integral equations ⋮ Solvability of system of Volterra integral equations via measure of noncompactness ⋮ Constant-sign solutions for systems of Fredholm and Volterra integral equations: The singular case ⋮ Local attractivity for integro-differential equations with noncompact semigroups ⋮ Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution ⋮ A Solution of the System of Integral Equations in Product Spaces via Concept of Measures of Noncompactness ⋮ ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM ⋮ Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form ⋮ Applications of measure of non-compactness and modified simulation function for solvability of nonlinear functional integral equations

Cites Work

• Existence principles for nonlinear resonant operator and integral equations
• 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
• Multiple solutions for higher-order difference equations
• Existence theory for nonlinear Fredholm and Volterra integral equations on half-open intervals
• Unnamed Item
• Unnamed Item

This page was built for publication: Singular Volterra integral equations