"Solutions of a system of integral equations in Orlicz spaces" by Ravi P. Agarwal, Donal O'Regan et al.
 

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

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