| 由强迫函数诱导的高阶泛函微分不等式的有界振动 |
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| 引用本文： | 俞元洪,温香彩.由强迫函数诱导的高阶泛函微分不等式的有界振动[J].河南师范大学学报(自然科学版),1996,24(2):1-4. |
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| 作者姓名： | 俞元洪 温香彩 |
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| 作者单位： | [1]中国科学院应用数学研究所 [2]河南师范大学数学系 |
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| 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．
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| 关 键 词： | 泛函微分不等式 强迫函数 有界振动 |
Bounded Oscillations of Higher Order Functional Diffrential Inequalities Induced by Forcing Funcions |
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| Yu Yuanhong.Bounded Oscillations of Higher Order Functional Diffrential Inequalities Induced by Forcing Funcions[J].Journal of Henan Normal University(Natural Science),1996,24(2):1-4. |
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| Authors: | Yu Yuanhong |
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| Abstract: | 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. |
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| Keywords: | functional differential inequalities forcing functions bounded oscillations |
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