Global behavior of the components for the second order -point boundary value problems.
An, Yulian, Ma, Ruyun (2008)
Boundary Value Problems [electronic only]
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An, Yulian, Ma, Ruyun (2008)
Boundary Value Problems [electronic only]
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Xu, Jia, Han, Xiaoling (2010)
Boundary Value Problems [electronic only]
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Liu, Yansheng, O'Regan, Donal (2009)
Boundary Value Problems [electronic only]
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Ma, Ruyun (2007)
Applied Mathematics E-Notes [electronic only]
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Ziyatkhan Aliyev (2014)
Open Mathematics
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In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial solutions bifurcating from the line of trivial solutions. These global continua have properties similar to those found in Rabinowitz and Berestycki well-known global bifurcation theorems.
Goddard, Jerome II, Lee, Eun Kyoung, Shivaji, R. (2010)
Boundary Value Problems [electronic only]
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Pietramala, Paolamaria (2011)
Boundary Value Problems [electronic only]
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Wang, Sheng-Ping, Wong, Fu-Hsiang, Kung, Fan-Kai (2010)
Boundary Value Problems [electronic only]
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Zhang, Xingqiu, Sun, Jingxian (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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An, Yulian, Luo, Hua (2010)
Boundary Value Problems [electronic only]
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Christopher S. Goodrich (2012)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we consider a coupled system of second-order boundary value problems with nonlocal, nonlinear boundary conditions, and we examine conditions under which such problems will have at least one positive solution. By imposing only an asymptotic growth condition on the nonlinear boundary functions, we are able to achieve generalizations over existing works and, in particular, we allow for the nonlocal terms to be able to be realized as Lebesgue-Stieltjes integrals possessing...