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

  • Yu. P. Apakov Наманган. инж.-пед. ин-т, Узбекистан

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.
Published
25.01.2012
How to Cite
ApakovY. P. “On the Solution of a Boundary-Value Problem for a Third-Order Equation With Multiple Characteristics”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 1, Jan. 2012, pp. 3-13, http://umj.imath.kiev.ua/index.php/umj/article/view/2551.
Section
Research articles