| 二阶脉冲边值问题一个正解的存在性 |
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| 引用本文： | 祖力. 二阶脉冲边值问题一个正解的存在性[J]. 长春大学学报, 2007, 0(6) |
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| 作者姓名： | 祖力 |
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| 作者单位： | 长春大学理学院 吉林长春130022 |
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| 基金项目： | 吉林省教育厅科研基金资助项目(2005211) |
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| 摘 要： | 利用Schauder不动点定理Leray-Schauder型非线性替换讨论了具有连续二阶脉冲狄利克莱边界值问题一个更广泛的、新的正解存在性理论。应用此存在性理论,还可以进一步深入探讨具有奇性的情况。
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| 关 键 词： | 边界值问题 脉冲微分方程 非线性Leray-Schauder抉择定理 |
Existence theory for single solution to boundary value problems for second order impulsive differential equations |
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| ZU Li. Existence theory for single solution to boundary value problems for second order impulsive differential equations[J]. Journal of Changchun University, 2007, 0(6) |
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| Authors: | ZU Li |
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| Abstract: | Boundary value problems for second order impulsive differential equations are widely applied in many fields,for example,in biology colony model and electrommunication field and so on.We use Schauder's fixed point theorem and a nonlinear alternative of Leray-Schauder type to obtain a general,new existence principle for the Dirichlet boundary value problem for second order impulsive differential equations.By using the existence principle,we can also deeply discuss the condition with singular. |
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| Keywords: | boundary value problem impulsive differential equation existence theory of nonlinear alternative of Leray-Schauder |
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