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Initial value problems for singular and nonsmooth second order differential inclusions

✍ Scribed by Daniel C. Biles; J. Ángel Cid; Rodrigo López Pouso


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
134 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

We study the existence of W^2,1^ solutions for singular and nonsmooth initial value problems of the type

equation image

where__T__ > 0 is a priori fixed, x~0~, x~1~ ∈ ℝ, and F: [0, T ] × ℝ → 𝒫(ℝ) \ {∅︁} is a multivalued mapping. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


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Periodic Problems for Strongly Nonlinear
✍ Sophia Kyritsi; Nikolaos Matzakos; Nikolaos S. Papageorgiou 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 245 KB

In this paper, we study periodic problems for second-order differential inclusions in R N with a maximal monotone term. The nonlinear differential operator is not necessarily homogeneous, does not obey any growth condition and incorporates as a special case the one-dimensional p-Laplacian. Using tec