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Representations for the solutions and coefficients of evolution equations

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Abstract

We give new representations for the solutions and coefficients of evolution equations in the linear case. The obtained formulas contain some functional arbitrariness that can be used in identification problems. We also give classes of hyperbolic equations that admit the generalized functionally invariant solutions.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    Yu. E. Anikonov & M. V. Neshchadim

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    Yu. E. Anikonov & M. V. Neshchadim

Authors
  1. Yu. E. Anikonov
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  2. M. V. Neshchadim
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Correspondence to Yu. E. Anikonov.

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Original Russian Text © Yu.E. Anikonov, M.V. Neshchadim, 2013, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2013, Vol. XVI, No. 2, pp. 40–49.

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Anikonov, Y.E., Neshchadim, M.V. Representations for the solutions and coefficients of evolution equations. J. Appl. Ind. Math. 7, 326–334 (2013). https://doi.org/10.1134/S1990478913030058

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  • DOI: https://doi.org/10.1134/S1990478913030058

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