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arXiv · 1912.13228

Group classification of second order neutral differential equations

Jervin Zen Lobo·Y. S. Valaulikar
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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.

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Jervin Zen Lobo, Y. S. Valaulikar. 2019-12-31. Group classification of second order neutral differential equations. https://arxiv.org/abs/1912.13228

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