On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation

• Date: 1994
• Main Authors: Evtukhov, V. M., Євтухов, В. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5674
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish sufficient conditions for oscillation and nonoscillation of regular solutions of the secondorder differential equation $y'' + p(t)|y|^{1-\lambda} |y'|^{\lambda} \,{\text {\rm sign }}\, y = 0$, where $λ < 1$ and $p: [a,ω[→ ℝ,\, −∞ < a < ω ≤...