## Differential and Integral Equations

### Existence and stability in the $\alpha$-norm for some partial functional differential equations with infinite delay

#### Abstract

In this work, we discuss the existence, regularity and stability of solutions for some partial functional differential equations with infinite delay. We assume that the linear part generates an analytic semigroup on a Banach space $X$ and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.

#### Article information

Source
Differential Integral Equations, Volume 19, Number 5 (2006), 545-572.

Dates
First available in Project Euclid: 21 December 2012

Benkhalti, Rachid; Ezzinbi, Khalil. Existence and stability in the $\alpha$-norm for some partial functional differential equations with infinite delay. Differential Integral Equations 19 (2006), no. 5, 545--572. https://projecteuclid.org/euclid.die/1356050442