Solutions for a System of Nonlinear Random Integral and Differential Equations

Ding Xieping; Wang Fan

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Ding Xieping, Wang Fan. Solutions for a System of Nonlinear Random Integral and Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(6): 471-481.

Citation:

Ding Xieping, Wang Fan. Solutions for a System of Nonlinear Random Integral and Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(6): 471-481.

Citation:

Ding Xieping, Wang Fan. Solutions for a System of Nonlinear Random Integral and Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 17(6): 471-481.

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Solutions for a System of Nonlinear Random Integral and Differential Equations

Ding Xieping¹,
Wang Fan²

1.
Departmen of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, P. R. China;
2.
Department of Mathematics, Nantong Teacher's College, Nantong, Jiangsu 226007, P. R. China

Received Date: 1995-02-27
Publish Date: 1996-06-15

Abstract

Abstract

In this paper we first prove a Darbao type fixed point theorem for a system of continuous random operators with random domains. Thenb, by using the theorem. wegive the existence criteria of solutions for a systems of nonlinear random volterraintegral equations and for the Cauchy problem of a system of nonlinear random differential equations. The existence of extremal random solutions and random comparison results for these systems of random equations are also obtained our theorems improve and generalize the corresponding results of Vaughn Lakshmikantham Lakshmidantham-Leela De blasi-Myjak and Ding.
- nonlinear Integral equations,
- random Voltcrra integral equations,
- random Cauchy problem,
- extremal random solution,
- comparison result

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References(10)

References

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[2]	V. Lakshmikantam and S. Leela, Nonlinear Differential Equations in Abstract Spaces, Pergamon Press, New York(1981).
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