Existence of solutions for some third-order boundary-value problems.
Bai, Zhanbing (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bai, Zhanbing (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Boucherif, Abdelkader, Henderson, Johnny (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mao, Jinxiu, Zhao, Zengqin, Xu, Naiwei (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Guo, Zhichang, Yin, Jingxue, Ke, Yuanyuan (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wenjie Gao, Junyu Wang (1995)
Annales Polonici Mathematici
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The periodic boundary value problem u''(t) = f(t,u(t),u'(t)) with u(0) = u(2π) and u'(0) = u'(2π) is studied using the generalized method of upper and lower solutions, where f is a Carathéodory function satisfying a Nagumo condition. The existence of solutions is obtained under suitable conditions on f. The results improve and generalize the work of M.-X. Wang et al. [5].
Jankowski, Tadeusz (2002)
Georgian Mathematical Journal
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Ehme, Jeffrey (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Sámuel Peres (2014)
Czechoslovak Mathematical Journal
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We study the existence and multiplicity of positive nonsymmetric and sign-changing nonantisymmetric solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions, where both of the nonlinearities are of power type. The given problem has already been studied by other authors, but the number of its positive nonsymmetric and sign-changing nonantisymmetric solutions has been determined only under some technical conditions. It was a long-standing...