NOETHERICITY OF SEMI-ELLIPTICAL OPERATOR WITH CONSTANT COEFFICIENTS IN THE RANGE
DOI:
https://doi.org/10.46991/PYSU:A/2008.42.3.016Keywords:
linear differential semielliptical operator, index, noethericityAbstract
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
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Mathematics
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