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An analog of the Saint-Venant principle and the uniqueness of a solution of the first boundary-value problem for a third-order equation of combined type in unbounded domains

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Nonlinear Oscillations

Abstract

We consider the first boundary-value problem for a third-order equation of combined type. Using the Saint-Venant principle, we study the uniqueness class for solutions of the problem in an unbounded domain.

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Authors and Affiliations

  1. Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

    A. R. Khashimov

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  1. A. R. Khashimov
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Translated from Neliniini Kolyvannya, Vol. 9, No. 1, pp. 117–126, January–March, 2006.

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Khashimov, A.R. An analog of the Saint-Venant principle and the uniqueness of a solution of the first boundary-value problem for a third-order equation of combined type in unbounded domains. Nonlinear Oscill 9, 115–124 (2006). https://doi.org/10.1007/s11072-006-0030-5

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  • DOI: https://doi.org/10.1007/s11072-006-0030-5

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