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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (3): 355-362.

• 论文 • 上一篇    下一篇

EXISTENCE OF SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS

洪世煌1, 胡适耕2   

  1. 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
  • 收稿日期:1997-09-13 修回日期:1999-10-20 出版日期:2000-03-18 发布日期:2000-03-18
  • 通讯作者: Yun Tianqian
  • 基金资助:
    the Natural Science Foundation of Educational Committee of Hainan Province,China

EXISTENCE OF SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS

Hong Shihuang1, Hu Shigeng 2   

  1. 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
  • Received:1997-09-13 Revised:1999-10-20 Online:2000-03-18 Published:2000-03-18
  • Supported by:
    the Natural Science Foundation of Educational Committee of Hainan Province,China

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290

被引次数

11

摘要： 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.

关键词: ordered Banach spaces, periodic boundary value problems, maximal and minimal solutions

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.

Key words: ordered Banach spaces, periodic boundary value problems, maximal and minimal solutions

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