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Asymptotic boundary value problems for evolution inclusions

Boundary Value Problems volume 2006, Article number: 68329 (2006) Cite this article

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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  1. Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, Tomkova 40, Olomouc, 779 00, Czech Republic

    Tomáš Fürst

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  1. Tomáš Fürst
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Correspondence to Tomáš Fürst.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Fürst, T. Asymptotic boundary value problems for evolution inclusions. Bound Value Probl 2006, 68329 (2006). https://doi.org/10.1155/BVP/2006/68329

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