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

• Autorzy: Blanka Baculíková , Jozef Džurina
• 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

Third-order neutral differential equations; Oscillation; Nonoscillation; Comparison theorem

Kategorie tematyczne

• 34K11: Oscillation theory
• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 6
• Strony: 1091-1103

Daty

wydano

2010-12-01

online

2010-10-30

Twórcy

autor

Blanka Baculíková

• Technical University of Košice

autor

Jozef Džurina

• Technical University of Košice

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0072-x