Periodic solutions for third order ordinary differential equations
Nieto, Juan J.
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 495-499 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1991-01-01
Classification:  34B15,  34C25 
@article{118430,
     author = {Juan J. Nieto},
     title = {Periodic solutions for third order ordinary differential equations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {495-499},
     zbl = {0832.34028},
     mrnumber = {1159797},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118430}
}

Nieto, Juan J. Periodic solutions for third order ordinary differential equations. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 495-499. http://gdmltest.u-ga.fr/item/118430/

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