Integro-differential equations for the characteristic functional that are generated by a system of random integral equations

被引：0

作者：

I. V. Romanovski

L. A. Yanovich

机构：

[1] Belarus State University,Institute of Mathematics

[2] National Academy of Sciences,undefined

来源：

Differential Equations | 2008年 / 44卷

关键词：

Integral Equation; Characteristic Function; Random Vector; Characteristic Functional; Random Function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a boundary value problem for a special system of integro-differential equations with variational derivatives. We establish the relationship between this problem and a system of integral equations with a power-law nonlinearity whose kernels and right-hand sides are random functions. We study the solvability of the boundary value problem. Special cases and examples are considered.

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页码：1269 / 1280

页数：11

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