摘要:

Given a Gaussian measure μ on the space K(X) of compact operators on a Banach space X, we study the distribution of the norm of the inverse of the random Fredholm operator IX+T, that iswhere IXis the identity on X. For random integral operators T distributed according to a Wiener type measure on the space of kernels we obtain almost sharp two–sided estimates of F(t). The methods yield also some new estimates of average condition numbers of random matrices.

ISSN:0736-2994    

DOI:10.1080/07362999008809197

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

摘要:

In this paper we discuss the existence of solutions of nonlinear random equations and inequalities. Two existence theorems on the solution of random equations with quasi–monotone operators and complex–monotone operators, and a general theorem on random inequalities are obtained.

ISSN:0736-2994    

DOI:10.1080/07362999008809198

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

摘要:

Description of circuit processes associated to a countable class of directed weighted circuits in terms of the growth function induced by the shortest-path-distance is given.

ISSN:0736-2994    

DOI:10.1080/07362999008809199

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

摘要:

In this paper we will consider the exponential stability in mean square for the following delay stochastic differential equation

ISSN:0736-2994    

DOI:10.1080/07362999008809200

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

摘要:

In this article we discuss Newton's method to find the numerical solution of a system of random volterra integral equations. An example is presented to implement the theory and Kolmogorov–Smirnov test is used to fit a distribution of the solutions.

ISSN:0736-2994    

DOI:10.1080/07362999008809201

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor

ISSN:0736-2994    

DOI:10.1080/07362999008809196

出版商:Marcel Dekker, Inc.    

年代:1990

数据来源: Taylor