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

• Date: 2012
• Main Authors: Apakov, Yu. P., Апаков, Ю. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2551
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...