二阶积分微分方程周期边值问题的解的存在性

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 海南省教育厅自然科学资助项目

Existence of Solutions for Periodic Boundary Value Problem for Second Order Integro-Differential Equations

1.
Science and Engineering College, Hainan University, Haikou 570228, P R China;
2.
Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P R China

摘要: 通过对比结果,用单调迭代方法证明了Banach空间中二阶积分微分方程的周期边值问题的最大最小解的存在性定理。
- 序Banach空间 /
- 周期边值问题 /
- 最大最小解
Abstract: By establishing a comparison result and using monotone iterative methods, the theorem of existence for minimal and maximal solutions of periodic boundary value problems for second order nonlinear integro-differential equations in Banach Spaces is proved.
- ordered Banach spaces /
- periodic boundary value problems /
- maximal and minimal solutions

[1]	Hu S, Lakshmikantham V.Periodic boundary value problems for integro-differential equations of volterratype[J].Nonlinear Anal,1986,10(1):1203～1208.
[2]	Chen Yubo, Wan Zhuang.On monotone iterative method for periodic boundary value problems of nonlinear integro-differential equations[J].Nonlinear Anal,1994,22(3):295～303.
[3]	Guo Dajun.Initial value problems for second order impulsive integro-differential equations in Banach Spaces[J].China Ann of Math,1997,18B(4):439～448.
[4]	Lakshmikantham V.Periodic boundary value problems of first and second order differential equations[J].J Appl Math Simulation,1989,2(3):131～138.
[5]	胡适耕.非线性分析[M].华中理工大学出版社,1996.