2020; Physical and Mathematical Sciences, 54(2 (252): 108–114
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ON CONSTANT COEFFICIENT PDE SYSTEMS AND INTERSECTION MULTIPLICITIES

Navasard Vardanyan*

Received: 2025-01-29 · Published: 2020-08-17

© 2020 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
ON CONSTANT COEFFICIENT PDE SYSTEMS AND INTERSECTION MULTIPLICITIES
Author
Navasard Vardanyan
Published
2020-08-17
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2020.54.2.108

Abstract

In this paper we consider the concept of the multiplicity of intersection pointsof plane algebraic curvesp,q=0,based on partial differential operators. Weevaluate the exact number of maximal linearly independent differential condi-tions of degreekfor allk≥0.On the other hand, this gives the exact number ofmaximal linearly independent polynomial and polynomial-exponential solutions,of a given degreek,for homogeneous PDE systemp(D)f=0,q(D)f=0.
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