Oscillation of Even-Order Neutral Delay Differential Equations

By Tongxing Li, Zhenlai Han, Ping Zhao, Shurong Sun. 2010

71 citations recorded by the source corpus.

By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations , , where is even, , , and . These oscillation criteria, at least in some sense, complement and improve those of Zafer (1998) and Zhang et al. (2010). An example is considered to illustrate the main results.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/fcf664a65098a8ef4fd945dcd9a13d7958b98efb

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In Applied Mathematics

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

In Numerical Analysis

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

Citations in the corpus

• Oscillation of second‐order neutral differential equations (2015, unknown): “6 Results presented in this section complement and improve several oscillation criteria reported in [3], [4], [5], [16], [17], [25] because our theorems apply even if σ (t) − τ0 ≡ σ (t − τ0) and σ (t) ≥ t − τ0.”
• Oscillation of higher-order quasi-linear neutral differential equations (2011, background): “[13], Tang et al.”