Geodesic
Nonlinear triple-point problems on time scales
Electronic journal of differential equations, Tome 2004 (2004)
We establish the existence of multiple positive solutions to the nonlinear second-order triple-point boundary-value problem on time scales,

$\displaylines{ u^{\Delta\nabla}(t)+h(t)f(t,u(t))=0, \cr u(a)=\alpha u(b)+\delta u^\Delta(a),\quad \beta u(c)+\gamma u^\Delta(c)=0 }$

for $t\in[a,c]\subset\mathbb{T}$, where $\mathbb{T}$ is a time scale, $\beta, \gamma, \delta\ge 0$ with $\beta+\gamma>0, 0 less than \alpha less than \frac{c-a}{c-b}$ and $b\in(a,c)\subset\mathbb{T}$.
Classification : 34B10, 34B15, 39A10
Keywords: fixed-point theorems, time scales, dynamic equations, cone 
@article{EJDE_2004__2004__a134,
     author = {Anderson,  Douglas R.},
     title = {Nonlinear triple-point problems on time scales},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1053.34014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a134/}
}
TY  - JOUR
AU  - Anderson,  Douglas R.
TI  - Nonlinear triple-point problems on time scales
JO  - Electronic journal of differential equations
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VL  - 2004
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LA  - en
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%0 Journal Article
%A Anderson,  Douglas R.
%T Nonlinear triple-point problems on time scales
%J Electronic journal of differential equations
%D 2004
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%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a134/
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%F EJDE_2004__2004__a134
Anderson,  Douglas R. Nonlinear triple-point problems on time scales. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a134/