EXISTENCE RESULTS FOR SEMILINEAR DIFFERENTIAL EQUATIONS Sakthivel, R.; Choi, Q.H.; Jung, T.;
In this paper we prove the existence of mild soultions for semilinear differential equations in a Banach space. The results are obtained by using the semigroup theory and the Schaefer fixed point theorem. An example is provided to illustrate the theory.
semilinear differential equation;mild solution;Schaefer fixed point theorem;