Positive and nontrivial solutions for the Urysohn integral equation

DOI10.1007/s10114-005-0782-3zbMath1130.45004OpenAlexW2361363886MaRDI QIDQ882740

Donal O'Regan, Gennaro Infante, Daniel Franco Leis

Publication date: 24 May 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0782-3

zbMATH Keywords

eigenvalues

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Positive solutions of integral equations (45M20)

Related Items

Nonlinear perturbed integral equations related to nonlocal boundary value problems, Constant-sign solutions of a system of difference equations of Urysohn type, On a perturbed functional integral equation of Urysohn type, A fixed point theorem for positive strict set-contractions mappings and its application to Urysohn type integral equations, Nontrivial solutions of Hammerstein integral equations with reflections, Constant-Sign Solutions of a System of Urysohn Integral Equations

Cites Work

• Eigenvalues of second order differential equations with singularities
• Volterra and Urysohn integral equations in Banach spaces
• Solvability of Urysohn integral equation.
• Multiple positive eigenvalues of conjugate boundary value problems with singularities
• Eigenvalues of a system of Fredholm integral equations
• Nonzero solutions of Hammerstein integral equations with discontinuous kernels
• On integral equations of Urysohn-Volterra type
• The general solution of Ming Antu's problem
• Existence, multicity and infinite solvability of positive solutions for one-dimensional \(p\)-Laplacian
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• Existence Theorems for Urysohn's Integral Equation
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• New results on newton-kantorovich approximations with applications to nonlinear integral equations
• EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS
• On the application of the newton-kantorovich method to nonlinear integral equations of uryson type
• Solution of nonlinear functional equations in linear normed spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item