Parameter dependence for a class of ordinary differential equations with measurable right‐hand side | Zendy

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Parameter dependence for a class of ordinary differential equations with measurable right‐hand side

Author(s) -

Klose Daniela,

Schuricht Friedemann

Publication year - 2011

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200710188

Subject(s) - mathematics , differentiable function , class (philosophy) , mathematical analysis , ordinary differential equation , pure mathematics , differential equation , differential (mechanical device) , thermodynamics , physics , artificial intelligence , computer science

The paper studies differential equations of the form u ′( x ) = f ( x , u ( x ), λ( x )), u ( x 0 ) = u 0 , where the right‐hand side is merely measurable in x . In particular sufficient conditions for the continuous and the differentiable dependence of solution u on the data and on the parameter λ are stated. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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