In: Tatra Mountains Mathematical Publications, vol. 48, no. 1
Tongxing Li - Chenghui Zhang - Blanka Baculíková - Jozef Džurina
Detaily:
Rok, strany: 2011, 117 - 123
Kľúčové slová:
third-order, delay differential equation, oscillation and asymptotic behavior
O článku:
The aim of this work is to study asymptotic properties of the third-order quasi-linear delay differential equation
\begin{equation*}\label{E} [a(t)(x''(t))α]\prime+q(t)xα(τ(t)\br)=0, \tag{$E$} \end{equation*}
where $α>0$, $\intt0∞((1) / (a1/α(t))){ d}t<∞$ and $τ(t)≤ t$. We establish a new condition which guarantees that every solution of (E) is either oscillatory or converges to zero. These results improve some known results in the literature. An example is given to illustrate the main results
Ako citovať:
ISO 690:
Li, T., Zhang, C., Baculíková, B., Džurina, J. 2011. On the oscillation of third-order quasi-linear delay differential equations. In Tatra Mountains Mathematical Publications, vol. 48, no.1, pp. 117-123. 1210-3195.
APA:
Li, T., Zhang, C., Baculíková, B., Džurina, J. (2011). On the oscillation of third-order quasi-linear delay differential equations. Tatra Mountains Mathematical Publications, 48(1), 117-123. 1210-3195.