Results 21 to 30 of about 151 (45)
, 2009 We show that stochastically continuous, time-homogeneous affine processes on the canonical state space $\Rplus^m \times \RR^n$ are always regular. In the paper of \citet{Duffie2003} regularity was used as a crucial basic assumption.
Keller-Ressel, Martin +2 more
core +4 more sources
Fixed points of the smoothing transform: Two-sided solutions
, 2011 Given a sequence $(C,T) = (C,T_1,T_2,...)$ of real-valued random variables with $T_j \geq 0$ for all $j \geq 1$ and almost surely finite $N = \sup\{j \geq 1: T_j > 0\}$, the smoothing transform associated with $(C,T)$, defined on the set $\mathcal{P}(\R)$
Alsmeyer, Gerold, Meiners, Matthias
core +1 more source
A parametric functional equation originating from number theory [PDF]
, 2022 Let S be a semigroup and α,β∈ℝ. The purpose of this paper is to determine the general solution f:ℝ2→S of the following parametric functional equationf(x1x2+αy1y2,x1y2+x2y1+βy1y2) = f(x1,y1)f(x2,y2),for all (x1,y1), (x2,y2)∈ℝ2, that generalizes some ...
Aissi, Youssef +2 more
core +1 more source
Geometric properties of basic hypergeometric functions
, 2014 In this paper we consider basic hypergeometric functions introduced by Heine. We study mapping properties of certain ratios of basic hypergeometric functions having shifted parameters and show that they map the domains of analyticity onto domains convex ...
Agrawal, Sarita, Sahoo, Swadesh
core +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper analyzes the stability of the Euler–Lagrange–Jensen cubic functional equation in the context of Banach spaces and Intuitionistic Fuzzy Normed Spaces (IFN‐Spaces). We use both direct and fixed point techniques to establish the generalized Ulam stability of the cubic functional equation under various norm‐based constraints.
Subramani Karthikeyan +4 more
wiley +1 more source
Remarks connected with the weak limit of iterates of some random-valued functions and iterative functional equations [PDF]
, 2020 The paper consists of two parts. At first, assuming that (Ω,A,P) is a probability space and (X,ρ) is a complete and separable metric space with the σ-algebra B of all its Borel subsets we consider the set Rc of all B ⊗A measurable and contractive in mean
Baron, Karol
core +1 more source
Sine subtraction laws on semigroups [PDF]
, 2023 We consider two variants of the sine subtraction law on a semigroup S. The main objective is to solve f(xy*) = f(x)g(y) - g(x)f(y) for unknown functions f,g: S→ℂ, where x↦x* is an anti-homomorphic involution.
Ebanks, Bruce
core +1 more source
Some results about a special nonlinear difference equation and uniqueness of difference polynomial
, 2011 In this paper, we continue to study a special nonlinear difference equation solutions of finite order entire function. We also continue to investigate the value distribution and uniqueness of difference polynomials of meromorphic functions.
Jianming Qi, Jie Ding, Taiying Zhu
semanticscholar +1 more source
Six-vertex model and non-linear differential equations I. Spectral problem
, 2017 In this work we relate the spectral problem of the toroidal six-vertex model's transfer matrix with the theory of integrable non-linear differential equations.
Galleas, W.
core +1 more source
NOTE ON ROBINSON’S FUNCTIONAL EQUATION
, 1999 The purpose of this note is to give a new proof of the fact, that the only entire solutions of the Robinson's functional equation are given by f(z) = Az or f(z) = A sin az, where A, a are complex constants and a is real or purely imaginary.
K. Piejko
semanticscholar +1 more source