#### Document Type

Article

#### Publication Title

Journal of Integral Equations and Applications

#### Abstract

We consider the following system of integral equations Ui(t) = ∫1gi(t,s)fi(s,u1(s),u2(s),...,un(s))ds, a.e. t [0,1], 1 ≤ i ≤ n. Our aim is to establish criteria such that the above system has a solution (u±,U2,... ,un) where uiLφ (Orlicz space), 1 < i < n. We further investigate the system Ui(t) = ∫1gi(t,s)fi(s,u1(s),u2(s),...,un(s))ds, a.e. t [0,1], 1 ≤ i ≤ n. and establish the existence of constant-sign solutions in Orlicz spaces, i.e., for each 1 ≤ i ≤ n, Oui > 0 and ui G L

#### First Page

469

#### Last Page

498

#### DOI

10.1216/JIE-2009-21-4-469

#### Publication Date

12-31-2009

#### Recommended Citation

Agarwal, R. P., O'Regan, D., & Wong, P. J. Y. (2009). Solutions of a system of integral equations in orlicz spaces. Journal of Integral Equations and Applications, 21(4), 469-498