Geodesic
A monotone method for constructing extremal solutions to second order periodic boundary value problems
Daqing Jiang1 ; Lingbin Kong2
1 Department of Mathematics Northeast Normal University Changchun 130024, P.R. China
2 Department of Mathematics Daqing Petroleum Institute Anda 151400, Heilongjiang, P.R. China
Annales Polonici Mathematici, Tome 76 (2001) no. 3, pp. 279-286.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem $u''(t)=f(t,u(t),u'(t))$, $u(0)=u(2\pi )$, $u'(0)=u'(2\pi )$ in the presence of a lower solution $\alpha (t)$ and an upper solution $\beta (t)$ with $\beta (t)\le \alpha (t)$.
DOI : 10.4064/ap76-3-6
Keywords: describe constructive method which yields monotone sequences converge uniformly extremal solutions periodic boundary value problem t presence lower solution alpha upper solution beta beta alpha

Daqing Jiang 1 ; Lingbin Kong 2

1 Department of Mathematics Northeast Normal University Changchun 130024, P.R. China
2 Department of Mathematics Daqing Petroleum Institute Anda 151400, Heilongjiang, P.R. China 
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Daqing Jiang; Lingbin Kong. A monotone method for constructing extremal solutions
to second order periodic boundary value problems. Annales Polonici Mathematici, Tome 76 (2001) no. 3, pp. 279-286. doi : 10.4064/ap76-3-6. http://geodesic.mathdoc.fr/articles/10.4064/ap76-3-6/

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