Interval oscillation criteria for second-order forced delay differential equations with mixed nonlinearities

摘要：

In this paper, by classical inequality and Riccati transformation, interval oscillation criteria are established for second-order forced delay differential equation with mixed nonlinearities of the form （r(t)Φa(x(t)))+po(t)Φa(x((t))))+nΣi=1 Pi(t)Φβi(x(τi(t)))=e(t),where t≥to,Φ*(u)=│u│*-1u,τk(t) are non-decreasing with τk(t)≤t,limt→∞τk(t)=∞,k=0,1,2,…,and the exponents satisfy βi＞a＞O are real number,Pi,i=0,1,2,…,n and e might change signs. They generalize and improve some known results. Example is also given to illustrate the importance of our results.

关键词： Interval oscillation Forced term mixed type Riccati transformation

作者: Zhonghai Guo Xiaoliang Zhou Weigao Ge

作者单位: Department of Mathematics,Xinzhou Teacher University, Xinzhou, Shanxi 034000, PR China;Department of Department of Mathematics, Guangdong Ocean University, Zhanjiang, Guangdong 524088, PR China Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 102-108

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）