Geodesic
Representations for the solutions and coefficients of second-order differential equations
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 4, pp. 17-23

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New representations are given for the solutions and coefficients of second-order evolution differential equations in linear and nonlinear cases. The formulas obtained for linear equations have wide arbitrariness, which can be used in identification problems. We study questions of running-wave type for nonlinear one-dimensional equations.
Keywords: second-order evolution differential equations, algebraic-analytic identities.
Mots-clés : Poisson formula 
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     title = {Representations for the solutions and coefficients of second-order differential equations},
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Yu. E. Anikonov; M. V. Neshchadim. Representations for the solutions and coefficients of second-order differential equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 4, pp. 17-23. http://geodesic.mathdoc.fr/item/SJIM_2012_15_4_a1/