Constant-Sign Solutions of a System of Urysohn Integral Equations

DOI10.1080/01630560802598556zbMath1181.45018OpenAlexW2027373231MaRDI QIDQ5504829

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

Publication date: 22 January 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802598556

zbMATH Keywords

eigenvalueseigenfunctionsfixed point indexLeray-Schauder alternativeconstant-sign solutionssystem of Urysohn integral equations

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Eigenvalue problems for integral equations (45C05) Positive solutions of integral equations (45M20)

Related Items

Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative matrices and applications ⋮ Positive solutions for a system of nonlinear Hammerstein integral equations and applications ⋮ Constant-sign \(L^p\) solutions for a system of integral equations

Cites Work

• Unnamed Item
• Existence of solutions to nonlinear Hammerstein integral equations and applications
• Positive and nontrivial solutions for the Urysohn integral equation
• Volterra and Urysohn integral equations in Banach spaces
• Multiple positive solutions of some boundary value problems
• Solvability of Urysohn integral equation.
• Constant-sign solutions of a system of Fredholm integral equations
• Solutions of constant signs of a system of Sturm-Liouville boundary value problems.
• Eigenvalues of a system of Fredholm integral equations
• Constant-sign \(L^p\) solutions for a system of integral equations
• On integral equations of Urysohn-Volterra type
• A system of \((n_i,p_i)\) boundary value problems with positive/nonpositive nonlinearities
• Triple positive solutions for boundary value problems on infinite intervals
• Constant-sign periodic and almost periodic solutions for a system of integral equations
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• NONLINEAR NON-LOCAL BOUNDARY-VALUE PROBLEMS AND PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS
• Opial's and wirtinger's type discrete inequalities in two independent variables
• New results on newton-kantorovich approximations with applications to nonlinear integral equations
• On the application of the newton-kantorovich method to nonlinear integral equations of uryson type
• On the existence of positive solutions of nonlinear second order differential equations
• Positive solutions of semi-positone Hammerstein integral equations and applications

This page was built for publication: Constant-Sign Solutions of a System of Urysohn Integral Equations