Polynomial quasisolutions of linear second-order differential-difference equations

• Datum: 2008
• Hauptverfasser: Ermolaeva, P. G., Cherepennikov, V. B., Єрмолаєва, П. Г., Черепенніков, В. Б.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3144
• Назва журналу: 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...