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On a Refinement Type Equation
-
R. Kapica
Published/Copyright:
June 9, 2010
Abstract
Let (Ω, A, P) be a complete probability space. We show that the trivial function is the unique L1-solution of the following refinement type equation
for a wide class of the given functions φ. This class contains functions of the form φ(x, ω) = α(ω)x – β(ω) with –∞ < ∫Ω log|α(ω)|dP(ω) < 0.
Key words and phrases.: Refinement type equations; L1-solutions; iterates of randomvalued functions; Fourier transform
Received: 2007-06-04
Revised: 2008-07-15
Published Online: 2010-06-09
Published in Print: 2008-December
© Heldermann Verlag
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Keywords for this article
Refinement type equations;
L1-solutions;
iterates of randomvalued functions;
Fourier transform
Articles in the same Issue
- Functions Preserving Some Types of Series
- On the Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems
- Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function
- Some New Generalizations of Critical Point Theorems for Locally Lipschitz Functions
- Stability of Impulsive Hybrid Set-Valued Differential Equations with Delay by Perturbing Lyapunov Functions
- Existence of Pareto Equilibria for Non-Compact Constrained Multi-Criteria Games
- Uniform Algebras in the Cantor and Baire Spaces
- Bounded Controllers for Uncertain Nonlinear Systems
- On a Refinement Type Equation
- Differential Polynomials Generated by Second Order Linear Differential Equations
- Existence Results of l-Point BVP for Higher Order Differential Equations with One-Dimension p-Laplacian
- Erratum to the Paper “Sufficiency and Duality in Control Problems with Generalized Invexity”
