A brief survey of recent results on distributional and entire solutlosof ordinary differential equations (ODE) and functional differential equations (FDE) is given. Emphasis is made on lnear equations with polynomial coefficients. Some work on generallzed-functlon solutions of integral equations is also mentioned.

In the present paper, $P-$distributional convergence which is defined by power series method has been introduced. We give equivalent expressions for of spliced sequences. Moreover, a bounded $\infty$-spliced sequence via represented in terms Bochner integral Banach spaces.

In this paper, distributional questions which arise in certain Mathematical Finance models are studied: the distribution of the integral over a fixed time interval {0, T} of the exponential of Brownian motion with drift is computed explicitly, with the help of former computations made by the author for Bessel processes. The moments of this integral are obtained independently and take a particul...

In 1949, several decades before the birth of the PC, computer scientist John von Neumann announced, “It would appear we have reached the limits of what is possible to achieve with computer technology.” He quickly and prudently added, “One should be careful with such statements; they tend to sound pretty silly in five years.” More than half a century later, it is Neumann’s caveat rather than his...

Philosophy of mind has long ceased to be, if indeed it ever was, the exclusive domain philosophers. In contemporary thought there is increasing interest in these matters from point view technology. This paper gives a critique ideas Ray Kurzweil and briefly reviews some recent trends treatment questions.

In this brief note, I explore the cognitive mechanisms involved in interpreting the meanings of events, as conveyed through language. Specifically, I examine the notion of event simulation in the construction of linguistic meaning. Simulations are a special class of minimal models, generated from linguistic input, under a number of agentoriented cognitive constraints. An integral part of this m...

The present paper provides exact expressions for the probability distributions of linear functionals of the two-parameter Poisson– Dirichlet process PD(α, θ). We obtain distributional results yielding exact forms for density functions of these functionals. Moreover, several interesting integral identities are obtained by exploiting a correspondence between the mean of a Poisson–Dirichlet proces...