数学物理学报(英文版) ›› 1991, Vol. 11 ›› Issue (4): 433-441.
王明新1,2, 张秦2
Wang Mingxin1,2, Zhang Qin2
摘要: In this paper, we consider the following second order retarded differential equations
x″(t)+cx'(t)=qx(t-σ)-lx(t-δ) (1) x″(t)+p(t)x(t-τ)=0 (2) We give some sufficient conditions for the oscillation of all solutions of Eq. (1) in the case where q, l, σ, δ are positive numbers and c is a real number. And also, we study the asymptotic behavior of the nonoscillatory solutions. If necessary, we give some examples to illustrate our results. At last, we study Eq. (2) with some conditions on p(t).