ON CONSTANT COEFFICIENT PDE SYSTEMS AND INTERSECTION MULTIPLICITIES

N.K. Vardanyan

doi:10.46991/PYSU:A/2020.54.2.108

ON CONSTANT COEFFICIENT PDE SYSTEMS AND INTERSECTION MULTIPLICITIES

Authors

N.K. Vardanyan Chair of Numerical Analysis and Mathematical Modelling, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2020.54.2.108

Keywords:

intersection point, multiplicity, PDE system

Abstract

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 $p(D)f=0,$ $q(D)f=0.$

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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