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

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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 $u''(t)=f(t,u(t),u'(t))$, $u(0)=u(2\pi )$, $u'(0)=u'(2\pi )$ 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

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