Geodesic
Double solutions of three-point boundary-value problems for second-order differential equations
Electronic Journal of Differential Equations, Tome 2004 (2004).

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

Summary: A double fixed point theorem is applied to yield the existence of at least two nonnegative solutions for the three-point boundary-value problem for a second-order differential equation, $$\displaylines{ y'' + f(y)=0,\quad 0 \leq t \leq 1,\cr y(0) =0,\quad y(p) - y(1) = 0, }$$ where $f:\mathbb{R} \to [0, \infty)$ is continuous.
Classification : 34B15, 34B10, 34B18
Keywords: fixed point theorem, three-point, boundary-value problem 
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     author = {Henderson, Johnny},
     title = {Double solutions of three-point boundary-value problems for second-order differential equations},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a41/}
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Henderson, Johnny. Double solutions of three-point boundary-value problems for second-order differential equations. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a41/