## African Diaspora Journal of Mathematics

### Positive Pseudo Almost Automorphic Solutions for Some Nonlinear Infinite Delay Integral Equations

#### Abstract

We state sufficient conditions for the existence of positive pseudo almost automorphic solutions of the following nonlinear infinite delay integral equation:

$$x(t)= \int^t_{-\infty}a(t,t-s)f(s,x(s))\: ds .$$

We deduce some corollaries on a finite delay integral equation and on a delay differential equation.

#### Article information

Source
Afr. Diaspora J. Math. (N.S.), Volume 12, Number 1 (2011), 19-33.

Dates
First available in Project Euclid: 11 August 2011