Nonnegative Solutions of a Fredholm Type Integral Equation with Applications to Boundary Value Problems

One studies the existence of nonnegative solutions of the integral equation under some suitable conditions on the functions f , G and h . The results obtained are then applied to some nonlinear boundary value problems.

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Bibliographic Details
Published in:Acta applicandae mathematicae 2012-10, Vol.121 (1), p.45-56
Main Author: Ferreira, Rui A. C.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Banach spaces
Boundary value problems
Calculus of Variations and Optimal Control
Optimization
Computational Mathematics and Numerical Analysis
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Partial Differential Equations
Probability Theory and Stochastic Processes
Studies
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Description
Summary:One studies the existence of nonnegative solutions of the integral equation under some suitable conditions on the functions f , G and h . The results obtained are then applied to some nonlinear boundary value problems.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-012-9673-7