In: Mathematica Slovaca, vol. 52, no. 3
Zhimin He - Weigao Ge
Details:
Year, pages: 2002, 331 - 341
About article:
In this paper, the second order linear delay differential equation with nonlinear impulses
$$ x''(t)+P(t)x(t-τ)=0 , t≥ t0 , t≠ tk , k=1,2,… , $$
$$ x(tk+)=gk(x(tk)) , x'(tk+)=hk(x'(tk)) , k=1,2,…, $$
is considered, where $ 0≤ t0 < t1 < … < tk < … $ with $ \limk\to +∞tk=+∞$, and $ τ $ is a positive constant. Some sufficient conditions are obtained ensuring that all solutions of this equation oscillate.How to cite:
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.