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## Open Mathematics

2010 | 8 | 6 | 1091-1103
Tytuł artykułu

### On the asymptotic behavior of a class of third order nonlinear neutral differential equations

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The objective of this paper is to study asymptotic properties of the third-order neutral differential equation $$\left[ {a\left( t \right)\left( {\left[ {x\left( t \right) + p\left( t \right)x\left( {\sigma \left( t \right)} \right)} \right]^{\prime \prime } } \right)^\gamma } \right]^\prime + q\left( t \right)f\left( {x\left[ {\tau \left( t \right)} \right]} \right) = 0, t \geqslant t_0 . \left( E \right)$$. We will establish two kinds of sufficient conditions which ensure that either all nonoscillatory solutions of (E) converge to zero or all solutions of (E) are oscillatory. Some examples are considered to illustrate the main results.
Słowa kluczowe
EN
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
1091-1103
Opis fizyczny
Daty
wydano
2010-12-01
online
2010-10-30
Twórcy
autor
• Technical University of Košice
autor
• Technical University of Košice
Bibliografia
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Bibliografia
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