Geodesic
Periodic solutions for third order ordinary differential equations
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 495-499.

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In this paper, we introduce the concept of upper and lower solutions for third order periodic boundary value problems. We show that the monotone iterative technique is valid and obtain the extremal solutions as limits of monotone sequences. We first present a new maximum principle for ordinary differential inequalities of third order that is interesting by itself.
Classification : 34B15, 34C25
Keywords: periodic solution; maximum principle; upper and lower solutions; monotone method 
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     title = {Periodic solutions for third order ordinary differential equations},
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Nieto, Juan J. Periodic solutions for third order ordinary differential equations. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 495-499. http://geodesic.mathdoc.fr/item/CMUC_1991__32_3_a10/