Existence results for nonlinear boundary-value problems with integral boundary conditions.
Belarbi, Abdelkader, Benchohra, Mouffak (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Belarbi, Abdelkader, Benchohra, Mouffak (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Matzakos, Nikolaos M.
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Candito, Pasquale, Bisci, Giovanni Molica (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Brykalov, S.A. (1997)
Georgian Mathematical Journal
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Benchohra, M., Ntouyas, S.K. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Couchouron, Jean-Francois, Precup, Radu (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Couchouron, Jean-François, Precup, Radu (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Qi, Aiqin, Liu, Yansheng (2000)
Georgian Mathematical Journal
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Hong, Shihuang (2003)
Electronic Journal of Differential Equations (EJDE) [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].