Representations for the solutions and coefficients of second-order differential equations |
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Authors: | Yu. E. Anikonov M. V. Neshchadim |
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Affiliation: | 1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia 2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
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Abstract: | New representations are given for the solutions and coefficients of second-order evolution differential equations in the linear and nonlinear cases. The formulas for linear equations have wide arbitrariness which can be used in identification problems. We study the questions of running-wave type for nonlinear one-dimensional equations. |
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