Initial value problems for singular and nonsmooth second order differential inclusions | Zendy

Biles Daniel C. | Zendy; Ángel Cid J. | Zendy; López Pouso Rodrigo | Zendy

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Initial value problems for singular and nonsmooth second order differential inclusions

Author(s) -

Biles Daniel C.,

Ángel Cid J.,

López Pouso Rodrigo

Publication year - 2007

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.200510549

Subject(s) - mathematics , differential inclusion , a priori and a posteriori , singular value , order (exchange) , initial value problem , singular solution , value (mathematics) , image (mathematics) , type (biology) , mathematical analysis , pure mathematics , differential equation , statistics , computer science , artificial intelligence , economics , geology , philosophy , eigenvalues and eigenvectors , physics , epistemology , finance , quantum mechanics , paleontology

We study the existence of W 2,1 solutions for singular and nonsmooth initial value problems of the typewhere T > 0 is a priori fixed, x 0 , x 1 ∈ ℝ, and F : [0, T ] × ℝ → (ℝ) \ {∅} is a multivalued mapping. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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