On the Stabilization of a Solution of the Cauchy Problem for One Class of Integro-Differential Equations

• Date: 2004
• Main Authors: Kulinich, G. L., Kushnirenko, S. V., Кулініч, Г. Л., Кушніренко, С. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3877
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a solution of the Cauchy problem u(t, x), t > 0, x ∈ R 2, for one class of integro-differential equations. These equations have the following specific feature: the matrix of the coefficients of higher derivatives is degenerate for all x. We establish conditions for the existence o...