A Characterization of Some Class Nonlinear Eigenvalue Problem in Vels

Abstract

In last the quarter century, many researchers have been interested by the theory of the variable exponent functionspace and its applications. We well-know that a normal mode analysis of a vibrating mechanical or electrical systemgives rise to an eigenvalue problem. We will investigate a characterization of some class nonlinear eigenvalueproblem in variable exponent Lebesgue spaces.