NONSELFADJOINT DEGENERATE DIFFERENTIAL EQUATIONS OF HIGHER ORDER

Authors

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

DOI:

https://doi.org/10.46991/PYSUA.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.

References

Downloads

Published

2014-07-10

Issue

Vol. 48 No. 2 (234) (2014)

Section

Mathematics

License

Copyright (c) 2014 Proceedings of the YSU

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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/PYSUA.2014.48.2.024

Most read articles by the same author(s)