Group classification of second order neutral differential equations
Classical Analysis and ODEs
2020-01-01 v1 Analysis of PDEs
Abstract
In this paper, we discuss the method of obtaining symmetries for second order nonhomogeneous neutral differential equations with variable coefficients. We use Taylor theorem for a function of several variables to obtain a Lie type invariance condition and the determining equations. Further we make a complete group classification of the second order linear neutral differential equation, for which there is no existing literature. As a special case, we present a complete group classification of the corresponding second order linear delay differential equation.
Cite
@article{arxiv.1912.13228,
title = {Group classification of second order neutral differential equations},
author = {Jervin Zen Lobo and Y. S. Valaulikar},
journal= {arXiv preprint arXiv:1912.13228},
year = {2020}
}
Comments
25 pages