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

Hong Shihuang; Hu Shigeng

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Hong Shihuang, Hu Shigeng. Existence of Solutions for Periodic Boundary Value Problem for Second Order Integro-Differential Equations[J]. Applied Mathematics and Mechanics, 2000, 21(3): 315-322.

Citation:

Hong Shihuang, Hu Shigeng. Existence of Solutions for Periodic Boundary Value Problem for Second Order Integro-Differential Equations[J]. Applied Mathematics and Mechanics, 2000, 21(3): 315-322.

Citation:

Hong Shihuang, Hu Shigeng. Existence of Solutions for Periodic Boundary Value Problem for Second Order Integro-Differential Equations[J]. Applied Mathematics and Mechanics, 2000, 21(3): 315-322.

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

Hong Shihuang¹,
Hu Shigeng²

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 Date: 1997-09-13
Rev Recd Date: 1999-10-25
Publish Date: 2000-03-15

Abstract

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

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References(5)

References

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