On Monotone Iterative Method for Initial Value Problems of Nonlinear Second Order Integrodifferential Equations in Banach Spaces

Chen Fangqi; Chen Yushu

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(5): 459-467

Chen Fangqi, Chen Yushu. On Monotone Iterative Method for Initial Value Problems of Nonlinear Second Order Integrodifferential Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2000, 21(5): 459-467.

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On Monotone Iterative Method for Initial Value Problems of Nonlinear Second Order Integrodifferential Equations in Banach Spaces

Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China

Received Date: 1999-01-23
Rev Recd Date: 1999-10-18
Publish Date: 2000-05-15

Abstract

Abstract

Using the monot one iterative method and M? nch fixed point theorem, the existence of solutions and coupled minimal and maximal quasisolutions of initial value problems for mixed monotone second order integrodifferential equations in Banach spaces were studied. Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained.
- integrodifferential equations,
- Kuratowski measure of noncompactness,
- coupled lower and upper quasisolutions,
- monotone iterative method

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References(13)

References

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