Boundary Value Problems
Volume 2006 (2006), Article ID 68329, 12 pages

Asymptotic boundary value problems for evolution inclusions

Tomáš Fürst

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.


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.