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Zbl 0993.34022
Atici, F.Merdivenci; Guseinov, G.Sh.
On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions. (English)
[J] J. Comput. Appl. Math. 132, No.2, 341-356 (2001). ISSN 0377-0427

The authors prove the existence of positive solutions to nonlinear ordinary differential equations with periodic boundary conditions on finite intervals. Upper and lower bounds on these solutions are provided. They further extend the results for boundary value problems depending on parameters and study the case of twin positive solutions and positive periodic solutions.
[Nikolai L.Vulchanov (Warszawa)]
MSC 2000:
*34B18 Positive solutions of nonlinear boundary value problems

Keywords: nonlinear ordinary differential equations; periodic boundary conditions; existence; positive solutions; Green function; finite intervals

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