Geodesic
Positive solutions for a functional delay second-order three-point boundary-value problem
Electronic Journal of Differential Equations, Tome 2006 (2006).

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

Summary: We establish criteria for the existence of positive solutions to the three-point boundary-value problems expressed by second-order functional delay differential equations of the form $$\displaylines{ - x''(t) = f(t, x(t), x(t - \tau), x_t), \quad 0 less than t less than 1, \cr x_0 = \phi, \quad x(1) = x(\eta), }$$ where $\phi \in C[- \tau, 0], 0 less than \tau less than 1/4$, and $\tau less than \eta less than 1$.
Classification : 34K10, 34B10
Keywords: functional delay differential equation, boundary value problem, positive solutions, fixed point index 
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     author = {Bai, Chuanzhi and Xu, Xinya},
     title = {Positive solutions for a functional delay second-order three-point boundary-value problem},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a113/}
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Bai, Chuanzhi; Xu, Xinya. Positive solutions for a functional delay second-order three-point boundary-value problem. Electronic Journal of Differential Equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a113/