Polynomial quasisolutions of linear second-order differential-difference equations

• Date: 2008
• Main Authors: Ermolaeva, P. G., Cherepennikov, V. B., Єрмолаєва, П. Г., Черепенніков, В. Б.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3144
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The second-order scalar linear difference-differential equation (LDDE) with delay $$\ddot{x}(t) + (p_0+p_1t)\dot{x}(t) = (a_0 +a_1t)x(t-1)+f(t)$$ is considered. This equation is investigated with the use of the method of polynomial quasisolutions based on the presentation of an unknown function in...