Multiple periodic solutions for asymptotically linear Duffing equations with resonance (II)
نویسندگان
چکیده
منابع مشابه
Uniqueness of Periodic Solutions for Asymptotically Linear Duffing Equations with Strong Forcing
so that we are dealing with an asymptotically linear problem. The forcing term p is T -periodic, and we are interested in T -periodic solutions of (1). We assume that the linear part of the equation is nonresonant, that is a 6= 0 and if c = 0 then a 6= (2πm/T ) for all integer m. Our result shows that for generic forcing term p, when the parameter λ, which measures the strength of the forcing, ...
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Ruichang Pei1, 2 1 Center for Nonlinear Studies, Northwest University, Xi’an 710069, China 2 Department of Mathematics, Tianshui Normal University, Tianshui 741001, China Correspondence should be addressed to Ruichang Pei, [email protected] Received 26 February 2010; Revised 2 April 2010; Accepted 22 April 2010 Academic Editor: Kanishka Perera Copyright q 2010 Ruichang Pei. This is an open access ...
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We consider a second order equation of Duffing type. By applying Mawhin’s continuation theorem and a relationship between the periodic and the Dirichlet boundary value problems for second order ordinary differential equations, we prove that the given equation has at least one positive periodic solution when the singular forces exhibits certain some strong force condition near the origin and wit...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2013
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.07.048