ON CONSTANT COEFFICIENT PDE SYSTEMS AND INTERSECTION MULTIPLICITIES
DOI:
https://doi.org/10.46991/PYSU:A/2020.54.2.108Keywords:
intersection point, multiplicity, PDE systemAbstract
In this paper we consider the concept of the multiplicity of intersection points of plane algebraic curves $p,q=0,$ based on partial differential operators. We evaluate the exact number of maximal linearly independent differential conditions of degree $k$ for all $k\ge 0.$ On the other hand, this gives the exact number of maximal linearly independent polynomial and polynomial-exponential solutions, of a given degree $k,$ for homogeneous PDE system $p(D)f=0,$ $q(D)f=0.$
Downloads
Published
2020-08-17
How to Cite
Vardanyan, N. (2020). ON CONSTANT COEFFICIENT PDE SYSTEMS AND INTERSECTION MULTIPLICITIES. Proceedings of the YSU A: Physical and Mathematical Sciences, 54(2 (252), 108–114. https://doi.org/10.46991/PYSU:A/2020.54.2.108
Issue
Section
Mathematics
License
Copyright (c) 2020 Proceedings of the YSU
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.