On the Abstract Subordinated Exit Equation | Zendy

Hassen Mejri | Zendy; Ezzedine Mliki | Zendy

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On the Abstract Subordinated Exit Equation

Author(s) -

Hassen Mejri,

Ezzedine Mliki

Publication year - 2010

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2010/390218

Subject(s) - mathematics , semigroup , contraction (grammar) , banach space , pure mathematics , function (biology) , law , mathematical analysis , political science , medicine , evolutionary biology , biology

Let ℙ=()>0 be a 0-contraction semigroup on a real Banach space ℬ. A ℙ-exit law is a ℬ-valued function ∈]0,∞[→∈ℬ satisfying the functional equation: =+, ,>0. Let be a Bochner subordinator and let ℙ be the subordinated semigroup of ℙ (in the Bochner sense) by means of . Under some regularity assumption, it is proved in this paper that each ℙ-exit law is subordinated to a unique ℙ-exit law

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