Oscillation of certain fourth-order functional differential equations

• Date: 2007
• Main Authors: Agarwal, P., Grace, S. R., O’Regan, D., Агарвал, Р. П., Грасе, С. Р., О'Реган, Д.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3308
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Some new criteria for the oscillation of fourth-order nonlinear functional differential equations of the form $$\frac{d^2}{dt^2} \left(a(t) \left(\frac{d^2x(t)}{dt^2}\right)^{α} \right) + q(t)f(x[g(t)])=0, \quad α>0,$$ are established.