## Differential and Integral Equations

### Evolution equations with nonlinear constitutive laws and memory effects

#### Abstract

Evolution equations are considered as operator equations involving a sum of the time-derivative operator $\partial _{0}$ regarded as a normal operator in a suitable Hilbert space setting and another fairly arbitrary spatial operator $A$ acting in a Hilbert space $H$. As an extension of the linear theory the case of a class of nonlinear constitutive laws with memory effects is considered.

#### Article information

Source
Differential Integral Equations, Volume 15, Number 3 (2002), 327-344.

Dates
First available in Project Euclid: 21 December 2012