| 三阶脉冲线性微分方程解的振动性与渐近性 |
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| 引用本文： | 毛卫华,万安华. 三阶脉冲线性微分方程解的振动性与渐近性[J]. 南昌大学学报(理科版), 2004, 28(4): 316-319 |
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| 作者姓名： | 毛卫华 万安华 |
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| 作者单位： | 华南农业大学,理学院,应用数学系,广东,广州,510642;西安交通大学,应用数学研究中心,陕西,西安,710049 |
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| 基金项目： | 广东省自然科学基金资助项目(011471)，广东省高校自然科学研究项目(0120) |
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| 摘 要： | 给出引理解决了方程非振动解与其各阶导数的符号关系，并由此得到了若干判别准则，用于判别三阶线性脉冲微分方程解的振动性与渐近性，举例说明了准则的有效性。本文推广了相关文献的结果。
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| 关 键 词： | 脉冲 振动性 渐近性 解 |
| 文章编号： | 1006-0464(2004)04-0316-04 |
| 修稿时间： | 2003-05-20 |
OSCILLATION AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THIRD ORDER LINEAR IMPUSIVE EQUATION |
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| MAO Wei-hua,WAN An-hua. OSCILLATION AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THIRD ORDER LINEAR IMPUSIVE EQUATION[J]. Journal of Nanchang University(Natural Science), 2004, 28(4): 316-319 |
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| Authors: | MAO Wei-hua WAN An-hua |
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| Affiliation: | MAO Wei-hua~1,WAN An-hua~2 |
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| Abstract: | A lemma is presented to deal with the sign relation of nonoscillatory solutions and their derived functions,by which we obtain some sufficient conditions for oscillating and asymptotically tending to zero for solutions.Several examples are presented to illustrate the conditions effective.We generalize and improve the results in the papers published concerning third order impulsive equations. |
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| Keywords: | impulse oscillation asymptotic behavior solution |
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