Periodic solutions for third order ordinary differential equations

Juan J. Nieto

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Displaying similar documents to “Periodic solutions for third order ordinary differential equations”

Periodic solutions for third order ordinary differential equations.

Nieto, Juan J. (1991)

Commentationes Mathematicae Universitatis Carolinae

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A monotone method for constructing extremal solutions to second order periodic boundary value problems

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).