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

• Date: 2011
• Main Authors: Avci, H., Tunç, E., Авкі, Х., Тунс, Е.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2803
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Some new oscillation criteria are established for the nonlinear damped differential equation $$(r(t)k_1 (x, x'))' + p (t) k_2 (x, x') x' + q (t) f (x (t)) = 0,\quad t \geq t_0.$$ The results obtained extend and improve some existing results in the literature.