Classification of Second Order Functional Differential Equations with Constant Coefficients to Solvable Lie Algebras
Author : Jervin Zen Lobo, Y. S. Valaulikar Volume: 16 issue: 3 Year: 2022 Views : 172In this paper, we shall apply symmetry analysis to second order functional differential equations with constant coefficients. The determining equations of the admitted Lie group are constructed in a manner different from that of the existing literature for delay differential equations. We define the standard Lie bracket and make a complete classification of the second order linear functional differential equations with constant coefficients, to solvable Lie algebras. We also classify some second order non-linear functional differential equations with constant coefficients, to solvable Lie algebras.
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