Unbounded solutions of BVP for second order ODE with $p$-Laplacian on the half line

Liu, Yuji; Wong, Patricia J. Y.

doi:10.1007/s10492-013-0009-3

Geodesic

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Unbounded solutions of BVP for second order ODE with $p$-Laplacian on the half line

Liu, Yuji ; Wong, Patricia J. Y.

Applications of Mathematics, Tome 58 (2013) no. 2, pp. 179-204.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Résumé

By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.

MR Zbl

DOI : 10.1007/s10492-013-0009-3

Classification : 34B10, 34B15, 34B40, 35B10
Keywords: second order differential equation on a half line; non-homogeneous boundary value problem; Leggett-Williams fixed point theorem

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     title = {Unbounded solutions of {BVP} for second order {ODE} with $p${-Laplacian} on the half line},
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     zbl = {1274.34088},
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Liu, Yuji; Wong, Patricia J. Y. Unbounded solutions of BVP for second order ODE with $p$-Laplacian on the half line. Applications of Mathematics, Tome 58 (2013) no. 2, pp. 179-204. doi : 10.1007/s10492-013-0009-3. http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0009-3/

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