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Boundedness of solutions for a class of reversible systems
Author(s) -
Yang Xiaojing
Publication year - 2006
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.200310385
Subject(s) - mathematics , class (philosophy) , order (exchange) , pure mathematics , differential equation , mathematical analysis , combinatorics , mathematical physics , computer science , economics , finance , artificial intelligence
In this paper, we are concerned with the problem of boundedness of solutions for the second order differential equation x ″ + f ( x ) x ′ + g ( x ) = e ( t ), where f , g ∈ C ∞ (ℝ) are odd functions and e ( t ) ∈ C ∞ (ℝ/ℤ) is odd. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)