Equivalence of the Oscillation of Two Coupled Differential Systems
In this paper, we establish the equivalence of the oscillation of the following two coupled differential systems xi(t)-xi(t-τi)+pi(t)fi(x1(t-τi1),…,xn(t-τin))=0 for i =1,…,n and yi(t)+pi(t)/τi fi(y1(t),…yn(t))=0 for i=1,…,n,where pi(t)∈C(R+,R+),τi are nonnegative real num-bers, τij for i,j=1,…,n are real numbers, fi (u1,…,un)is nondecreasing in ui for i=1,…,n and satisfies the following conditions fi(u1…,un)>0 if ui> 0 for i=1,…,n,fi(u1…,un)<0 if ui<0 for i=1,…,n.
Xiaoyun Zeng Bao Shi Decun Zhang
Institute of Applied Mathematics Naval Aeronautical Engineering Institute Yantai, Shandong 264001, P R China
国际会议
南宁
英文
2007-07-20(万方平台首次上网日期,不代表论文的发表时间)