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- Title
Constant-Sign Solutions for Systems of Fredholm and Volterra Integral Equations: The Singular Case.
- Authors
Agarwal, Ravi; O’Regan, Donal; Wong, Patricia
- Abstract
We consider the system of Fredholm integral equations and also the system of Volterra integral equations where T>0 is fixed and the nonlinearities h i ( t, u 1, u 2,..., u n ) can be singular at t=0 and u j =0 where j∈{1,2,..., n}. Criteria are offered for the existence of constant-sign solutions, i.e., θ i u i ( t)≥0 for t∈[0,1] and 1≤ i≤ n, where θ i ∈{1,−1} is fixed. We also include examples to illustrate the usefulness of the results obtained.
- Subjects
INTEGRAL equations; FREDHOLM equations; VOLTERRA equations; NUMERICAL solutions to equations; ALGEBRA
- Publication
Acta Applicandae Mathematicae, 2008, Vol 103, Issue 3, p253
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-008-9234-2