Continuous solutions of iterative equations of infinite order

• Autorzy: Kapica R. , Morawiec J.
• Języki publikacji: EN

Abstrakty

EN

Given a probability space (Ω, A, P) and a complete separable metric space X, we consider R continuous and bounded solutions φ: X → R of the equations φ (x) = ∫Ω φ(ƒ(x, ω)) P(dω) and φ(x) = 1 - ∫Ωφ(ƒ(x, ω)) P(dω), assuming that the given function ƒ : X x Ω → X is controlled by a random variable L: Ω → (0, ∞) with -∞ < ∫Ω log L (ω) P (dω) < 0. An application to a refinement type equation is also presented.

Słowa kluczowe

EN

random-valued vector functions; sequences of iterates; iterative equations; continuous solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2009
• Tom: Vol. 29, no. 2
• Strony: 147--155
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kapica R.

autor

Morawiec J.

• Silesian University Institute of Mathematics Bankowa 14, 40-007 Katowice, Poland,

Bibliografia

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