Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
767353 | Communications in Nonlinear Science and Numerical Simulation | 2010 | 10 Pages |
Abstract
This research gives a complete Lie group classification of second-order delay ordinary differential equations of the formy″=fx,y,yτ,y′,yτ′,where τ>0τ>0 is the delay, yτ=y(x-τ)andyτ′=y′(x-τ). All classes of second-order delay ordinary differential equations admitting a Lie algebra are presented in the manuscript. The method for finding the solution for this type of differential equation is developed.
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Authors
P. Pue-on, S.V. Meleshko,