Volume 280, Issue 12 pp. 1335-1343
Original Paper

Initial value problems for singular and nonsmooth second order differential inclusions

Daniel C. Biles

Daniel C. Biles

Department of Mathematics, Western Kentucky University, Bowling Green, Kentucky 42101, USA

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J. Ángel Cid

J. Ángel Cid

Departamento de Matemáticas, E.U.P. de Linares, Universidad de Jaén, Alfonso X el Sabio, 28, 23700, Linares, Jaén, Spain

Phone: +34 953212944, Fax: +34 953211871

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Rodrigo López Pouso

Corresponding Author

Rodrigo López Pouso

Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain

Phone: +34 981563100, Ext. 13166, Fax: +34 981597054Search for more papers by this author
First published: 08 August 2007
Citations: 2

Abstract

We study the existence of W2,1 solutions for singular and nonsmooth initial value problems of the type

equation image

whereT > 0 is a priori fixed, x0, x1 ∈ ℝ, and F: [0, T ] × ℝ → 𝒫(ℝ) \ {∅︁} is a multivalued mapping. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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