Group Methods for First Order Neutral Differential Equations
Author : Jervin Zen Lobo, Y. S. Valaulikar Volume: 63 issue: 2 Year: 2021 Views : 188In this paper, we shall obtain a Lie type invariance condition for first order
neutral differential equations using Taylor’s theorem for a function of several variables -
an approach which is different from the existing literature for delay differential equations.
A complete group classification of the first order linear neutral differential equation is made for which there is no literature. In addition, we have illustrated the group classification of a first order nonlinear neutral differential equation. Finally, as a special case we make a group classification of the first order delay differential equation.
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