#### 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