In a context of complete Þnancial markets where asset prices follow Ito’s processes, we characterize the set of consumption processes which are optimal for a given stochastic differential utility (e.g. Duffie and Epstein (1992)) when beliefs are unknown. Necessary and sufficient conditions for the efficiency of a consumption process, consists of the existence of a solution to a quadratic backwa...

From a logic point of view this is the third in the series to solve the problem of absence of detailed balance. This paper will be denoted as SDS III. The existence of a dynamical potential with both local and global meanings in general nonequilibrium processes has been controversial. Following an earlier explicit construction by one of us (Ao, J. Phys. A37, L25 '04, cond-mat/0803.4356, referre...

in this paper, indium tin oxide (ito) nanoparticles has been prepared by chemical methods under given conditions with solution of indium chloride (incl3·4h2o), tin chloride (sncl4·5h2o) in ammonia solution. the samples were characterized by x-ray diffraction (xrd) and scanning electron microscopy (sem) analyses after heat treatments. the sem results showed that, the size of the ito particles pr...

European Range Accrual Option pricing and deviation Formula has been deduced through observing the foundational asset probabilistic distribution characteristics with help of Ito’s lemma, relaxing boundary assumption to infinity zero respectively, classical Black-Scholes option formula worked out. This paper subsequently articulates numerical value simulated computation algorithm using...

In this paper, we investigate the admissible entire solutions of finite order of the differential-difference equations [Formula: see text] and [Formula: see text], where [Formula: see text], [Formula: see text] are two non-zero polynomials, [Formula: see text] is a polynomial and [Formula: see text]. In addition, we investigate the non-existence of entire solutions of finite order of the differ...

In this paper, we mainly investigate the Brück conjecture concerning entire function f and its differential polynomial [Formula: see text] sharing an entire function [Formula: see text] with [Formula: see text], by using the theory of complex differential equation.

The article is devoted to optimization of the mean-square approximation procedures for iterated Ito stochastic integrals multiplicities 1 5. mentioned are part strong numerical methods with convergence orders 1.0, 1.5, 2.0, and 2.5 differential equations multidimensional non-commutative noise based on unified Taylor-Ito expansion multiple Fourier-Legendre series converging in sense norm Hilbert...