Existência de solução para algumas equações de evolução via teoria de semigrupo analítico.

Abstract

In this work we present an introduction to the Theory of analytical semigroups of unbounded linear operators, with some applications of this theory to the existence of solutions for Ordinary Differential equations in Banach spaces of form: u1(t)−Au(t)= f(t,u(t))+K(u)(t), where f e K are given functions and A is an unbounded operator.