Existence of some new classes of semilinear unbounded perturbed operator equations

Abstract EN

In this paper, the adopted approach of existence is based on Leray-Schauder degree theorem.

The necessary theorems of nonexpansive perturbed operators, lemmas and propositions for the existence and uniqueness of proposed classes of semilinear perturbed unbounded operator equations have been adapted and developed with proofs and supported by some illustrative examples.