OSCILLATION OF DELAY DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT  

作　　者：Luo Zhiguo Shen JianhuaDept. of Math., Hunan Normal Univ., Changsha 410081. E mail: luozg@mail. hunnu.edu.cn 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2000年第4期383-390,共8页高校应用数学学报（英文版）（B辑）

摘　　要：The delay differential equation with piecewise constant argument x′(t)+a(t)x(t)+ b(t) x([t-k])=0 is considered,where a(t) and b(t) are continuous functions on [-k,∞),b(t)≥0,k is a positive integer and [·] denotes the greatest integer function.Some new oscillation and nonoscillation conditions are obtained.The delay differential equation with piecewise constant argument x′(t)+a(t)x(t)+ b(t) x([t-k])=0 is considered,where a(t) and b(t) are continuous functions on [-k,∞),b(t)≥0,k is a positive integer and [·] denotes the greatest integer function.Some new oscillation and nonoscillation conditions are obtained.

关 键 词：OSCILLATION differential equation difference eguation. 

分 类 号：O175[理学—数学]