Boundary Value Problems
Volume 2006 (2006), Article ID 68329, 12 pages
doi:10.1155/BVP/2006/68329
Asymptotic boundary value problems for evolution inclusions
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, Tomkova 40, Olomouc 779 00, Czech Republic
Received 24 January 2005; Revised 12 July 2005; Accepted 17 July 2005
Copyright © 2006 Tomáš Fürst. 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.
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.