Geodesic
Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional $p$-Laplacian
Mathematica Bohemica, Tome 136 (2011) no. 2, pp. 175-184.

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We consider the boundary value problem involving the one dimensional $p$-Laplacian, and establish the precise intervals of the parameter for the existence and non-existence of solutions with prescribed numbers of zeros. Our argument is based on the shooting method together with the qualitative theory for half-linear differential equations.
DOI : 10.21136/MB.2011.141580
Classification : 34B08, 34B15, 34C10
Keywords: boundary value problem; half-linear differential equation; Sturm comparison theorem; half-linear Prüfer transformation 
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Naito, Yūki. Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional $p$-Laplacian. Mathematica Bohemica, Tome 136 (2011) no. 2, pp. 175-184. doi : 10.21136/MB.2011.141580. http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141580/

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