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Periodic solutions to second order nonautonomous differential systems with unbounded nonlinearities
Author(s) -
Han Zhiqing
Publication year - 2011
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.200810148
Subject(s) - mathematics , mathematical analysis , skew , order (exchange) , term (time) , differential equation , differential (mechanical device) , matrix (chemical analysis) , pure mathematics , physics , materials science , finance , quantum mechanics , astronomy , engineering , economics , composite material , aerospace engineering
We investigate the existence of periodic solutions of differential systems with a skew‐symmetric matrix term and unbounded nonlinearities. Under new generalized Ahmad‐Lazer‐Paul conditions, some existence results are obtained and some results in the literature are improved.