摘要
本文考虑了非线性泛函微分不等式X(t){LnX(t)十f(t,x(g1(t))),…X(gm(t)))-h(t)}≤0.(当n为奇数时)(1)x(t){Lnx(t)-f(t,x(g1(t)),…X(gm(t)}≥0(当n为偶数时)(2)的振动问题,得到了不等式(1)和(2)的一切有界解振动和一切解振动的充分条件.
in this paper,we consider the problem of oscillations for the nonlinear functional differential inequalitiesx(t) {Lnx(t) + f(t,x(g1 )),...x(gm(t))-h(t)}≤ 0,when n is odd,(1)x(t) {Lnx(t)- f(t,x(g1)),...x(gm(t)- h(t))≥0,when n is even (2)sufficient conditions of oscillations for all bounded solutions and all solutions of inequalities (1)(or(2)) are obtained.
出处
《河南师范大学学报(自然科学版)》
CAS
CSCD
1996年第2期1-4,共4页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金
关键词
泛函微分不等式
强迫函数
有界振动
functional differential inequalities
forcing functions
bounded oscillations.