Existence results in the α-norm for neutral partial functional integro-differential equations with infinite delay

摘要

In this paperwe propose to study, in the α-norm, a class of neutral partial functional integrodifferential equations with infinite delay. We assume that the linear part generates an analytic and compact semigroup and the nonlinear part of the system involve spatial derivatives. At the end, an example is provided to illustrate the application of the obtained results.