Mathematics

Nonselfadjoint degenerate differential equations of higher order

L. Tepoyan

Yerevan State University, Faculty of Mathematics and Mechanics

Abstract: In this article we consider Dirichlet problem for some class of degenerate nonselfadjoint differential equations of higher order. We prove the existence and uniqueness of the generalized solution, establish analogue of the Keldysh theorem and explore the spectral properties of the corresponding operator.

Keywords: degenerate differential equations, weighted Sobolev spaces, spectral theory of linear operators.

MSC: Primary 35J70; Secondary 47E05, 46E35

Received: 03.03.2014
Revised: 24.03.2014

Language: English