Oscillation in second order linear delay differential equations with nonlinear impulses

Rok, strany: 2002, 331 - 341

In this paper, the second order linear delay differential equation with nonlinear impulses

$$ x''(t)+P(t)x(t-τ)=0 ,    t≥ t₀ ,   t≠ t_k , k=1,2,… , $$

$$ x(t_k⁺)=g_k(x(t_k)) ,   x'(t_k⁺)=h_k(x'(t_k)) ,    k=1,2,…, $$

is considered, where $ 0≤ t₀ < t₁ < … < t_k < … $ with $ \lim_{k\to +∞}t_k=+∞$, and $ τ $ is a positive constant. Some sufficient conditions are obtained ensuring that all solutions of this equation oscillate.

ISO 690:

He, Z., Ge, W. 2002. Oscillation in second order linear delay differential equations with nonlinear impulses. In Mathematica Slovaca, vol. 52, no.3, pp. 331-341. 0139-9918.

APA:

He, Z., Ge, W. (2002). Oscillation in second order linear delay differential equations with nonlinear impulses. Mathematica Slovaca, 52(3), 331-341. 0139-9918.