2017
Том 69
№ 9

All Issues

On the solution of a boundary-value problem for a third-order equation with multiple characteristics

Apakov Yu. P.

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Abstract

We consider the first boundary-value problem for the third-order equation with multiple characteristics $u_{x x x} - u_{y y} = f (x,y)$ in the domain $D = \{ ( x , y ) : 0 < x < p, 0 < y < l\}$ The uniqueness of a solution is proved by the energy-integral method, and the solution is constructed in explicit form with the use of the Green function.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 1, pp 1-12.

Citation Example: Apakov Yu. P. On the solution of a boundary-value problem for a third-order equation with multiple characteristics // Ukr. Mat. Zh. - 2012. - 64, № 1. - pp. 3-13.

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