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

By B. Baculíková, Jozef Dzurina. 2010

50 citations recorded by the source corpus.

AbstractThe 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.

Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/510418cf408a09ee5191da37586f72a6f91deed6

How researchers see this paper

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In Applied Mathematics

1. Tongxing Li
2. Chenghui Zhang
3. Guojing Xing

In Control and Systems Engineering

1. Chenghui Zhang
2. Tongxing Li

In Numerical Analysis

1. Tongxing Li
2. Chenghui Zhang
3. Guojing Xing

Citations in the corpus

• Oscillation of higher-order quasi-linear neutral differential equations (2011, background): “We refer the reader to the papers [2-22] and the references cited therein.”