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

  • V. M. Evtukhov

Abstract

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 $p: [a,ω[→ ℝ,\, −∞ < a < ω ≤ +∞$ is a locally summable function.
Published
25.07.1994
How to Cite
EvtukhovV. M. “On Conditions for Oscillation and Nonoscillation of the Solutions of a Semilinear Second-Order Differential Equation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 7, July 1994, pp. 833–841, https://umj.imath.kiev.ua/index.php/umj/article/view/5674.
Section
Research articles