Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
A uniqueness-type problem for linear iterative equations
-
Rafal Kapica
Veröffentlicht/Copyright:
25. September 2009
Abstract
Given a probability space (Ω,A,P), a Polish space X and a (B(X) ⊗ A)-measurable function f:X × Ω→X we consider Borel and bounded solutions ψ:X→ℝ of the functional inequality
ψ(x) ≤ ∫Ωψ(f(x,ω))P(dω)
and a uniqueness-type problem for Borel and bounded solutions φ:X→ℝ of the functional equation
φ(x) = ∫Ωφ(f(x,ω))P(dω).
Keywords: random-valued vector functions; iterative functional equations and inequalities; bounded Borel and continuous solutions; uniqueness-type problem
Published Online: 2009-09-25
Published in Print: 2009-04
© by Oldenbourg Wissenschaftsverlag, München, Germany
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Restrictions of power series and functions to algebraic surfaces
- Approximate continuity and topological Boolean algebras
- A Tauberian theorem for absolute quasi-Nörlund means
- Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem
- Some new results on the semiduality of small sets of analytic functions
- A note on globally defined analytic sets
- Counterexamples to symmetry for partially overdetermined elliptic problems
- A uniqueness-type problem for linear iterative equations
- A new bound of Mason´s theorem
Schlagwörter für diesen Artikel
random-valued vector functions;
iterative functional equations and inequalities;
bounded Borel and continuous solutions;
uniqueness-type problem
Artikel in diesem Heft
- Restrictions of power series and functions to algebraic surfaces
- Approximate continuity and topological Boolean algebras
- A Tauberian theorem for absolute quasi-Nörlund means
- Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem
- Some new results on the semiduality of small sets of analytic functions
- A note on globally defined analytic sets
- Counterexamples to symmetry for partially overdetermined elliptic problems
- A uniqueness-type problem for linear iterative equations
- A new bound of Mason´s theorem
