On the exact controllability of a nonlinear stochastic heat equation.
On the exact distributional asymptotics for the supremum of a random walk with increments in a class of light-tailed distribution.
On the exchanges between Wolfgang Doeblin and Bohuslav Hostinský
We present the letters sent by Wolfgang Doeblin to Bohuslav Hostinský between 1936 and 1938. They concern some aspects of the general theory of Markov chains and the solutions of the Chapman-Kolmogorov equation that Doeblin was then establishing for his PhD thesis.
On the existence and asymptotic behavior of the random solutions of the random integral equation with advancing argument
1. Introduction Random Integral Equations play a significant role in characterizing of many biological and engineering problems [4,5,6,7]. We present here new existence theorems for a class of integral equations with advancing argument. Our method is based on the notion of a measure of noncompactness in Banach spaces and the fixed point theorem of Darbo type. We shall deal with random integral equation with advancing argument , (t,ω) ∈ R⁺ × Ω, (1) where (i) (Ω,A,P) is a complete probability space, (ii)...
On the existence and uniqueness of the solution processes in McShane's stochastic integral equation systems
On the existence of a class of stationary quantum stochastic processes
On the existence of a dual semigroup
On the existence of conditional density functions
On the existence of continuous modifications of vector-valued random fields.
On the existence of disintegrations
On the existence of exponential moments of Rademacher sums
On the existence of invariant densities for Markov operators
On the existence of invariant measures for Markov processes
On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions.
On the existence of probability measures with given marginals
Let be a compact ordered space and let be two probabilities on such that for every increasing continuous function . Then we show that there exists a probability on such that(i) , where is the graph of the order in ,(ii) the projections of onto are and .This theorem is generalized to the completely regular ordered spaces of Nachbin and also to certain infinite products. We show how these theorems are related to certain results of Nachbin, Strassen and Hommel.
On the existence of recurrent extensions of self-similar Markov processes.
On the existence of resolvents
On the Existence of Uniformly Distributed Sequences in Compact Topological Spaces II.
On the existence of uniformly distributed sequences in compact spaces
On the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane's stochastic integral equations.
In this paper we use the Schauder fixed point theorem and methods of integral inequalities in order to prove a result on the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane stochastic integral equations.