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On a class of bounded trajectories for some non‐autonomous systems
Author(s) -
Gavioli A.,
Sanchez L.
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510696
Subject(s) - mathematics , bounded function , class (philosophy) , pure mathematics , boundary value problem , real line , line (geometry) , boundary (topology) , mathematical analysis , geometry , artificial intelligence , computer science
Abstract We prove, by variational arguments, the existence of a solution to the boundary value problem in the half line (0.1)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)