## Differential and Integral Equations

### Existence and uniqueness of $\bf C^{1+\alpha}$-strict solutions for integro-differential equations with state-dependent delay

#### Abstract

We study the existence and uniqueness of strict and $\bf C^{1+\alpha}$-strict solutions for a general class of abstract integro-differential equations with state-dependent delay. Some examples concerning partial integro-differential equations with state dependent delay are presented.

#### Article information

Source
Differential Integral Equations, Volume 32, Number 5/6 (2019), 291-322.

Dates
First available in Project Euclid: 3 April 2019

Hernández, Eduardo; Wu, Jianhong. Existence and uniqueness of $\bf C^{1+\alpha}$-strict solutions for integro-differential equations with state-dependent delay. Differential Integral Equations 32 (2019), no. 5/6, 291--322. https://projecteuclid.org/euclid.die/1554256868