Periodic solutions for third order ordinary differential equations.
Nieto, Juan J. (1991)
Commentationes Mathematicae Universitatis Carolinae
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Nieto, Juan J. (1991)
Commentationes Mathematicae Universitatis Carolinae
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Daqing Jiang, Lingbin Kong (2001)
Annales Polonici Mathematici
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We describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) in the presence of a lower solution α(t) and an upper solution β(t) with β(t) ≤ α(t).
Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Mawhin, Jean
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