NOETHERICITY OF SEMI-ELLIPTICAL OPERATOR WITH CONSTANT COEFFICIENTS IN THE RANGE

G. A. Karaprtyan; A. A. Darbinyan

doi:10.46991/PYSU:A/2008.42.3.016

NOETHERICITY OF SEMI-ELLIPTICAL OPERATOR WITH CONSTANT COEFFICIENTS IN THE RANGE

Authors

G. A. Karaprtyan Russian-Armenian (Slavic) State University, Yerevan State University, Armenia
A. A. Darbinyan Russian-Armenian (Slavic) State University, Yerevan State University, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2008.42.3.016

Keywords:

linear differential semielliptical operator, index, noethericity

Abstract

The current thesis describes the noethericity of the linear differential semielliptical operator with constant coefficients in the range. It’s proved, that in order the operator to be noetherian it is necessary and sufficient for it to be semielliptical. In particular it is proved that the index of the semi-elliptical operator with constant coefficients in the range is equal to zero.

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Published

2023-10-06

How to Cite

Karaprtyan, G. A., & Darbinyan, A. A. (2023). NOETHERICITY OF SEMI-ELLIPTICAL OPERATOR WITH CONSTANT COEFFICIENTS IN THE RANGE. Proceedings of the YSU A: Physical and Mathematical Sciences, 42(3 (217), 16–24. https://doi.org/10.46991/PYSU:A/2008.42.3.016