NONSELFADJOINT DEGENERATE DIFFERENTIAL EQUATIONS OF HIGHER ORDER

Authors

  • L.P. Tepoyan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2014.48.2.024

Keywords:

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

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.

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Published

2014-07-10

How to Cite

Tepoyan, L. (2014). NONSELFADJOINT DEGENERATE DIFFERENTIAL EQUATIONS OF HIGHER ORDER. Proceedings of the YSU A: Physical and Mathematical Sciences, 48(2 (234), 24–29. https://doi.org/10.46991/PSYU:A/2014.48.2.024

Issue

Section

Mathematics