Oscillation of higher-order half-linear neutral differential equations

Demonstratio mathematica

article

Shuhong Tang¹  Tongxing Li²  E. Thandapani⁴ 

[1] School of Information and Control Engineering, Weifang University;School of Control Science and Engineering, Shandong University;School of Mathematical Science, University of Jinan;Ramanujan Institute for Advanced Study in Mathematics, University of Madras

关键词: oscillation;    half-linear neutral differential equation;    higher-order;   

DOI  :  10.1515/dema-2013-0444

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In this paper, we establish some new oscillation criteria for the higher-order half-linear neutral differential equation [a(t)  ([x(t)+p(t)x(σ(t))](n−1))γ]′+q(t)xγ(τ(t))=0.$$\left[ {a(t)\,\,\left( {[x(t) + p(t)x(\sigma (t))]^{(n - 1)} } \right)^\gamma } \right]^\prime + q(t)x^\gamma (\tau (t)) = 0.$$ An example is given to illustrate the main results.

【 授权许可】

CC BY