Open Access

Asymptotic boundary value problems for evolution inclusions

Boundary Value Problems20062006:68329

https://doi.org/10.1155/BVP/2006/68329

Received: 24 January 2005

Accepted: 17 July 2005

Published: 14 February 2006

Abstract

When solving boundary value problems on infinite intervals, it is possible to use continuation principles. Some of these principles take advantage of equipping the considered function spaces with topologies of uniform convergence on compact subintervals. This makes the representing solution operators compact (or condensing), but, on the other hand, spaces equipped with such topologies become more complicated. This paper shows interesting applications that use the strength of continuation principles and also presents a possible extension of such continuation principles to partial differential inclusions.

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Authors’ Affiliations

(1)
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University

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Copyright

© Fürst 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.