Existence and Comparison Results of Solutions for Nonlinear Random Integral and Differential Equations Relative to Weak Topology

Ding Xie-ping

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Ding Xie-ping. Existence and Comparison Results of Solutions for Nonlinear Random Integral and Differential Equations Relative to Weak Topology[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1039-1050.

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Existence and Comparison Results of Solutions for Nonlinear Random Integral and Differential Equations Relative to Weak Topology

Ding Xie-ping

Sichuan Normal University, Chengdu

Received Date: 1986-07-26
Publish Date: 1987-12-15

Abstract

Abstract

In this paper, we prove several existence theorems of random solutions to nonlinear random Volterra integral equations under the weak topology of Banach spaces. Then, as applications, we obtain the existence theorems of weak random solutions to random differential equations. Existence of extremal random solutions and a random comparison theorem for these random equations are also obtained. Our theorems improve and extend the corresponding results in [4,5,10,11,12].

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References(15)

References

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