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On a class of bounded trajectories for some non-autonomous systems

✍ Scribed by A. Gavioli; L. Sanchez

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
143 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We prove, by variational arguments, the existence of a solution to the boundary value problem in the half line

equation image

where c ≥ 0 and a belongs to a certain class of positive functions. The existence of such a solution in the case c = 0 means that the system (0.1) behaves in significantly different way from its autonomous counterpart. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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