Solvability of inhomogeneous boundary-value problems for fourth-order differential equations

• Date: 2011
• Main Authors: Buryachenko, K. O., Буряченко, К. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2781
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a Cauchy-type boundary-value problem of, a problem with three boundary conditions, and the Dirichlet problem for a general fourth-order differential equation with constant complex coefficients and nonzero right-hand side in a bounded domain $\Omega \subset R^2$ with smooth boundary. Us...