Positive solutions of nonlinear $m$-point boundary-value problem for $p$-Laplacian dynamic equations on time scales

Sang, Yanbin; Xi, Huiling

Geodesic

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Positive solutions of nonlinear $m$-point boundary-value problem for $p$-Laplacian dynamic equations on time scales

Sang, Yanbin ; Xi, Huiling

Electronic Journal of Differential Equations, Tome 2007 (2007).

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

Résumé

Summary: In this paper, we study the existence of positive solutions to nonlinear m-point boundary-value problems for a p-Laplacian dynamic equation on time scales. We use fixed point theorems in cones and obtain criteria that generalize and improve known results.

Classification : 34B18
Keywords: time scale, three-point boundary-value problem, cone, fixed point, positive solution

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     author = {Sang, Yanbin and Xi, Huiling},
     title = {Positive solutions of nonlinear $m$-point boundary-value problem for $p${-Laplacian} dynamic equations on time scales},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a185/}
}

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Sang, Yanbin; Xi, Huiling. Positive solutions of nonlinear $m$-point boundary-value problem for $p$-Laplacian dynamic equations on time scales. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a185/