Document Type
Article
Publication Title
Journal of Integral Equations and Applications
Abstract
We consider the following system of Volterra intergral equations uu1(t) = gi(t, s)fi(s, u1(s), u2(s), · · ·, un(s))ds, a.e. t ∈ [0,T], 1 ≤ i ≤ n. Criteria are offered for the existence of one and more constantsign solutions u = (u1, u2, · · ·, un) of the system in Lp and the Orlicz spaces. We say u is of constant sign if for each 1 ≤ i ≤ n, Θiui(t) ≥ 0 for a.e. t ∈ [0,T], where Θi ∈ {1,-1} is fixed. © 2008 Rocky Mountain Mathematics Consortium.
First Page
337
Last Page
378
DOI
10.1216/JIE-2008-20-3-337
Publication Date
9-22-2008
Recommended Citation
Agarwal, R. P., O'Regan, D., & Wong, P. J. Y. (2008). Constant-sign solutions of a system of volterra integral equations in orlicz spaces. Journal of Integral Equations and Applications, 20(3), 337-378.
