Geodesic
On a problem with non-local conditions for the equations of the IV order
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 2, pp. 18-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article deals with a non-local problem with an integral condition for pseudohyperbolic fourth order equation. The dominant mixed derivative which is presented in the equation allows to interpret the problem as an analogue of the Gurs problem. The conditions for the coefficients of the equation and the input data are obtained to ensure the existence of a single task's decision.
Keywords: non-local problem, equation with dominant mixed derivative, integral conditions
Mots-clés : Sobolev type equation, Goursat problem, Boussinesq–Love equations. 
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A. V. Dyuzheva. On a problem with non-local conditions for the equations of the IV order. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 2, pp. 18-23. http://geodesic.mathdoc.fr/item/VSGU_2018_24_2_a1/

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