On oscillation of solutions of a nonautonomous quasilinear second-order equation

• Date: 1994
• Main Authors: Vitrychenko, I. E., Вітриченко, І. Є.
• 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/5731
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Sufficient conditions are obtained for the initial values of nontrivial oscillating (for $t = ω$) solutions of the nonautonomous quasilinear equation $y'' \pm \lambda (t)y = F(t,y,y'),$, where $t ∈ Δ = [a, ω[,-∞ < a < ω ≤ + ∞, λ(t) > 0, λ(t) ∈ C_Δ^{(1)...