摘要:

The mathematical theory of stochastic Volterra-Hamilton systems is used to model cost of terpene production of colonizing soft corals and their highly toxic effects on reef–building corals of the Great Barrier Reef based on recent biological findings of Sammarco, Coll and others. The central question asked is what strategies would enable them to survive soft coral colonization. The model predicts that any factor which reduces soft coral encroachment and direct toxic effects has survival value. Reasoning is based on exact solution of a forward Cauchy problem using Kunita backward calculus and involves the Riemannian sealer curvature of phase space explicitly

ISSN:0736-2994    

DOI:10.1080/07362998808809146

出版商:Marcel Dekker, Inc.    

年代:1988

数据来源: Taylor

摘要:

Letbe a sequence of normally distributed independent random variables with mathematical expectation μ≠0, and variance unity. Here for n→∞ we find the asymptotic relation for the mathematical expectation of the number of real roots of the equationwhere K is any non zero real constant, permitted to be a function of degree n. It is shown that the results are valid even for K→∞ as long as

ISSN:0736-2994    

DOI:10.1080/07362998808809147

出版商:Marcel Dekker, Inc.    

年代:1988

数据来源: Taylor

摘要:

Expressions in vector notation are given for the central moments, the non–central moments and the cumulants of arbitrary order of the multivariate normal distribution

ISSN:0736-2994    

DOI:10.1080/07362998808809148

出版商:Marcel Dekker, Inc.    

年代:1988

数据来源: Taylor

摘要:

Consider a tandem queue model with a single server who can switch instantaneously from one queue to another. Customers arrive according to a Poisson process with rate λ . The amount of service required by each customer at the ithqueue is an exponentially distributed random variable with rate μi. Whenever two or more customers are in the system, the decision as to which customer should be served first depends on the optimzation criterion. In this system all server allocation policies in the finite set of work conserving deterministic policies have the same expected first passage times (makespan) to empty the system of customers from any initial state. However, a unique policy maximizes the first passage probability of empty-ing the system before the number of customers exceeds K, for any value of K, and it stochastically minimizes (he number of customers in the system at any timet> 0 . This policy always assigns the server to the non empty queue closest to the exit

ISSN:0736-2994    

DOI:10.1080/07362998808809149

出版商:Marcel Dekker, Inc.    

年代:1988

数据来源: Taylor

摘要:

We give an integral representation of disjointly additive order preserving nonexpansive operators inL1, using a family {Pt,t∈R} of substochastic kernels. We also characterize the case when the kernels correspond to positive linear operatorsTtinL1of norm ≤ 1. Forwe then obtainwhereXtfis the indicator function of {f > t}

ISSN:0736-2994    

DOI:10.1080/07362998808809150

出版商:Marcel Dekker, Inc.    

年代:1988

数据来源: Taylor

摘要:

In this paper we first prove that the assumptions between basic Theorem 1 and 2, hence main Theorem 3 and 4, in Chang [ 1 ] are equivalent. We then give several common fixed point theorems which are proved under considerably weaker conditions. We finally point out three mistakes in Chang [ 1 ] and correct them. The method used in this paper defers from the method used by Chang [ 1 ]

ISSN:0736-2994    

DOI:10.1080/07362998808809151

出版商:Marcel Dekker, Inc.    

年代:1988

数据来源: Taylor

摘要:

We apply the methods of probabilistic potential theory and Dirichlet forms to the study of a class of infinite dimensional diffusions with independent coordinates. This class includes the Ornstein-Uhlenbeck process considered by a number of authors. Using the properties of their Dirichlet forms, we obtain criteria for the 12sample path continuity of the processes under consideration, in terms of their invariant measures and diffusion coefficients. As well, we consider the behaviour along sample paths of the sequence of coordinates

ISSN:0736-2994    

DOI:10.1080/07362998808809152

出版商:Marcel Dekker, Inc.    

年代:1988

数据来源: Taylor

ISSN:0736-2994    

DOI:10.1080/07362998808809145

出版商:Marcel Dekker, Inc.    

年代:1988

数据来源: Taylor