2019
Том 71
№ 11

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

Evtukhov V. M.

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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 912-921.

Citation Example: Evtukhov V. M. On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation // Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 833–841.

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