Abstract
We consider two systems of Volterra integral equationsu(i)(t) = h(i)(t) + integral(t)(0) g(i)(t, s) f(i)(s, u(1)(s), u(2)(s),..., u(n)(s)) ds, 1 = i = nwhere t is in the closed interval [0, T], or in the half-open interval [0, T). By an argument originated from Brezis and Browder [8], criteria are offered for the existence of solutions of the systems of Volterra integral equations. We further establish the existence of constant-sign solutions, which include positive solutions (the usual consideration) as a special case. Some examples are also presented to illustrate the results obtained.
| Original language | English (Ireland) |
|---|---|
| Number of pages | 0 |
| Journal | Electronic Journal Of Differential Equations |
| Publication status | Published - 1 Aug 2011 |
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Agarwal, RP,O'Regan, D,Wong, PJY
- Agarwal, RP;O'Regan, D;Wong, PJY