On Multiplicative perturbation of generators of semigroups of linear transformations : Survey

Abstract

Main aim of present paper is to survey results on multiplicative perturbation of generators of continuous & analytic semi-groups in Hilbert and Banach spaces. Few open problems in that direction are suggested. We as well mention a partial integro-differential equation of age dependent population dynamics, which leads to a problem in multiplicative perturbation of generators of analytic semi-group.