二阶非线性脉冲微分方程边界值问题

H·伯利科托路; A·胡舍诺夫

doi:10.3879/j.issn.1000-0887.2009.08.011

二阶非线性脉冲微分方程边界值问题

doi: 10.3879/j.issn.1000-0887.2009.08.011

安卡拉大学数学系,坦多甘 06100,安卡拉土耳其

基金项目: NATOPC-A1土耳其科学技术委员会(TUBITAK)资助项目

详细信息

中图分类号: O175.8
计量
- 文章访问数: 1638
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- 被引次数: 0
出版历程
- 收稿日期: 2009-01-20
- 修回日期: 2009-06-19
- 刊出日期: 2009-08-15

Boundary Value Problems for Nonlinear Second Order Difference Equations With Impulse

Department of Mathematics, Ankara University, Tandogan 06100, Ankara, Turkey

摘要

摘要: 研究二阶非线性脉冲微分方程边界值问题(BVPI)．构造了BVPI的Green函数，并将非线性的BVPI转化为不动点问题，利用Banach不动点定理和Lipschitz条件，证明了该非线性BVPI解的唯一性，最后证明了BVPI解的存在性定理．
- 脉冲条件 /
- Green函数 /
- 不动点定理 /
- Lipschitz条件 /
- 存在性 /
- 唯一性
Abstract: A boundary value problem with impulse (BVPI) for nonlinear second order difference equations is considered. Green's function of the BVPI was constructed and then the nonlinear BVPI was reduced to a fixed point problem. Banach fixed point theorem and Lipschitz condition were applied to show the uniqueness of solutions for the nonlinear BVPI. Finally, the theorem existence of solutions for the nonlinear BVPI was proved.
- impulse conditions /
- Green’s function /
- fixed point theorems /
- Lipschitz condition /
- existence /
- uniqueness

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参考文献(17)

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