| 一类非线性脉冲时滞微分方程的振动准则 |
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| 引用本文： | 顾长超,孙琳.一类非线性脉冲时滞微分方程的振动准则[J].安庆师范学院学报(自然科学版),2012,18(4):4-7. |
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| 作者姓名： | 顾长超 孙琳 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039;安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | 教育部博士点基金项目(2011340110001)资助 |
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| 摘 要： | 对一类非线性脉冲微分方程的解的振动性作了研究,给出引理解决了方程非振动解与其各阶导数的符号关系,得到其振动性的判别准则,举例说明了准则的有效性。
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| 关 键 词： | 脉冲微分方程 时滞微分方程 振动性 非线性 |
Oscillation Criteria of a Class of Nonlinear Delay Differential Equation with Impulse |
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| GU Chang-chao,SUN Lin.Oscillation Criteria of a Class of Nonlinear Delay Differential Equation with Impulse[J].Journal of Anqing Teachers College(Natural Science Edition),2012,18(4):4-7. |
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| Authors: | GU Chang-chao SUN Lin |
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| Institution: | (School of Mathematical Sciences,Anhui University,Hefei,230039,China) |
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| Abstract: | The paper studies the oscillations of a class of nonlinear delay differential equation with impulse.A lemma is presented to deal with the sign relation of the nonoscillatory solutions and their derived functions.Also,it obtains some criterions about the oscillation of the solutions to the equations and gives one example to illustrate the effectiveness of these criteria. |
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| Keywords: | impulsive differential equation delay differential equation oscillation nonlinear |
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