NONSELFADJOINT DEGENERATE DIFFERENTIAL OPERATOR EQUATIONS OF HIGHER ORDER ON INFINITE INTERVAL

S. Zschorn

doi:10.46991/PSYU:A/2014.48.2.039

NONSELFADJOINT DEGENERATE DIFFERENTIAL OPERATOR EQUATIONS OF HIGHER ORDER ON INFINITE INTERVAL

Authors

S. Zschorn Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2014.48.2.039

Keywords:

differential equations in abstract spaces, degenerate differential operator equations, weighted Sobolev spaces

Abstract

In the paper the Dirichlet problem for some class of degenerate nonselfadjoint differential operator equations of higher order on the infinite interval are considered.

Existence and uniqueness of the generalized solution of Dirichlet problem is proved, some analogue of the Keldysh theorem for the corresponding onedimensional operator is established.

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Published

2014-07-10

How to Cite

Zschorn, S. (2014). NONSELFADJOINT DEGENERATE DIFFERENTIAL OPERATOR EQUATIONS OF HIGHER ORDER ON INFINITE INTERVAL. Proceedings of the YSU A: Physical and Mathematical Sciences, 48(2 (234), 39–45. https://doi.org/10.46991/PSYU:A/2014.48.2.039