The algebraic multiplicity of the complex eigenvalues of population operator and its application

Abstract

In this paper we discuss the algebraic multiplicity of the complex eigenvalue of population operator. Under certain condition we first prove that all the complex eigenvalues of this operator, except at most finitely many ones, are of algebraic multiplicity 1,and then, as an application of this result, we obtain the asymptotic expansion of the solution of corresponding population system.

Keywords:

• Population operator
• Complex eigenvalues
• Algebraic multiplicity
• Asymptotic expansion

AMS Classification:

• 45K05
• 92D30

^∗Corresponding author. [email protected].

^∗Corresponding author. [email protected].

Notes

^∗Corresponding author. [email protected].