Geodesic
Positive solutions to a generalized second-order three-point boundary-value problem on time scales
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $$\displaylines{ u^{\Delta\nabla}(t)+a(t)f(u(t))=0,\quad t\in[0, T]\subset \mathbb{T},\cr u(0)=\beta u(\eta),\quad u(T)=\alpha u(\eta) }$$ on time scales $\mathbb{T}$, where , $0less than \alpha less than \frac{T}{\eta}, $0 less than betaless than fracT-alphaetaT-eta$$ are given constants.$$
Classification : 34B18, 39A10
Keywords: time scales, three-point boundary value problems, cone, fixed points, positive solutions 
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     author = {Luo, Hua and Ma, Qiaozhen},
     title = {Positive solutions to a generalized second-order three-point boundary-value problem on time scales},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2005},
     year = {2005},
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Luo, Hua; Ma, Qiaozhen. Positive solutions to a generalized second-order three-point boundary-value problem on time scales. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a88/