Constant-sign solutions of a system of Volterra integral equations

DOI10.1016/j.camwa.2006.10.031zbMath1130.45006OpenAlexW2054849310MaRDI QIDQ2460564

Donal O'Regan, Ravi P. Agarwal, Patricia J. Y. Wong, Christopher C. Tisdell

Publication date: 12 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.10.031

zbMATH Keywords

positive solutionsingular Volterra integral equationconstant-sign solutionsolution on a coneVolterra-Hammerstein system

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Positive solutions of integral equations (45M20)

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Cites Work

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• Positive solutions of Volterra integral equations using integral inequalities
• On linear singular Volterra integral equations of the second kind
• Uniqueness of solutions for a class of nonlinear Volterra integral equations without continuity
• Constant-sign solutions of a system of Fredholm integral equations
• Eigenvalues of a system of Fredholm integral equations
• Singular Volterra integral equations
• Constant-sign solutions of a system of integral equations with integrable singularities
• Uniqueness of solutions for a class of non-linear Volterra integral equations with convolution kernel
• Nonlinear Volterra Integral Equations with Convolution Kernel
• Unique solutions of some Voltera integral equations.
• On a class of Volterra and Fredholm non-linear integral equations