Multiple solutions for asymptotically linear Duffing equations with Neumann boundary value conditions (II)
نویسندگان
چکیده
منابع مشابه
Solutions for some non-linear fractional differential equations with boundary value problems
In recent years, X.J.Xu [1] has been proved some results on mixed monotone operators. Following the paper of X.J.Xu, we study the existence and uniqueness of the positive solutions for non-linear differential equations with boundary value problems.
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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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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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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2013
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.12.003