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

• Дата: 1994
• Автори: Evtukhov, V. M., Євтухов, В. М.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1994
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5674
• Назва журналу: 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 ≤...