Boundary Value Problems
Volume 2006 (2006), Article ID 68329, 12 pages
doi:10.1155/BVP/2006/68329
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.