| 具分段常变元的时滞微分方程的振动性 |
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| 引用本文： | 罗治国,申建华. 具分段常变元的时滞微分方程的振动性[J]. 高校应用数学学报(英文版), 2000, 15(4): 383-390. DOI: 10.1007/s11766-000-0034-3 |
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| 作者姓名： | 罗治国 申建华 |
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| 作者单位： | Dept. Of Math., Hunan Normal Univ., Changsha 410081 |
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| 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.
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| 关 键 词： | 延迟微分方程 分段常数 振动方程 连续函数 |
Oscillation of delay differential equations with piecewise constant argument |
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| Luo Zhiguo,Shen Jianhua. Oscillation of delay differential equations with piecewise constant argument[J]. Applied Mathematics A Journal of Chinese Universities, 2000, 15(4): 383-390. DOI: 10.1007/s11766-000-0034-3 |
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| Authors: | Luo Zhiguo Shen Jianhua |
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| Affiliation: | (1) Dept. of Math., Hunan Normal Univ., 410081 Changsha |
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| Abstract: | 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. |
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| Keywords: | 34K15 39A10 |
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