Asymptotic properties of third-order nonlinear differential equations

In: Tatra Mountains Mathematical Publications, vol. 54, no. 1

Blanka Baculíková - Jozef Džurina

Detaily:

Rok, strany: 2013, 19 - 29

Kľúčové slová:

third-order differential equations, comparison theorem, oscillation, nonoscillation

O článku:

We present new criteria guaranteeing that all nonoscillatory solutions of the third-order functional differential equation \begin{equation*} [r(t)[x^\prime(t)]^γ]^\prime\prime+p(t) x^β(τ(t))=0 \end{equation*} tend to zero. Our results are based on the suitable comparison theorems. We consider both delay and advanced case of studied equation. The results obtained essentially improve and complement earlier ones.

Ako citovať:

ISO 690:

Baculíková, B., Džurina, J. 2013. Asymptotic properties of third-order nonlinear differential equations. In Tatra Mountains Mathematical Publications, vol. 54, no.1, pp. 19-29. 1210-3195.

APA:

Baculíková, B., Džurina, J. (2013). Asymptotic properties of third-order nonlinear differential equations. Tatra Mountains Mathematical Publications, 54(1), 19-29. 1210-3195.