Existence of Periodic Solutions for a Class of Nonlinear Evolution Equations

Abstract

ABSTRACT. Tu the present paper we prove an existence result concerning T-periodic solutions Lo a class of nonlinear evolution equations of the form u'(t) + Ai4l) i f(t,u(t)), 1 6where A is an rn-accretive operator acting lix a real llulbert space 11 and such that -A is the generator of a campad semigroup, while f: R x fi(A) -* H is continuous and T-periodic with respect to tbe first argument.