Document Type
Article
Publication Title
Journal of Integral Equations and Applications
Abstract
We consider the following systems of Fredholm integral equations and the system of Volterra integral equations where the nonlinearities fi, 1 ≤ i ≤ n may be singular in the independent variable and may also be singular at uj = 0, j ∈ {1, 2,..., n}. Our aim is to establish criteria such that the above systems have at least one constant-sign solution (u1, u2,..., un), i.e., for each 1 ≤ i ≤ n, Θiui ≥ 0 where Θi ∈ {1,-1} is fixed. © 2007 Rocky Mountain Mathematics Consortium.
First Page
117
Last Page
142
DOI
10.1216/jiea/1182525211
Publication Date
6-22-2007
Recommended Citation
Agarwal, R. P., O'regan, D., & Wong, P. J. (2007). Constant-sign solutions of a system of integral equations with integrable singularities. Journal of Integral Equations and Applications, 19(2), 117-142