IJPAM: Volume 72, No. 4 (2011)
TO A MIXED FUNCTIONAL DIFFERENTIAL EQUATION
Departamento de Matemática
Universidad Simón Bolıvar
Caracas, 1080 A, VENEZUELA
Abstract. In this article we present an spectral analysis of the semigroup associated to certain mixed functional differential equation. The associated semigroup to the solution of this equation and its correspondig infinitesimal generator are defined on a closed subspace of . Expressions for the resolvent associated to the infinitesimal generator and its point spectrum are presented so as the analysis of the asymptotic distribution of the eigenvalues of the infinitesimal generator associated to the semigroup.
Received: July 4, 2011
AMS Subject Classification: 34J10, 34K30, 34A12
Key Words and Phrases: mixed functional differential equations, semigroups, asymptotic distribution of eigenvalues
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395