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Displaying similar documents to “On the number of zeros of bounded nonoscillatory solutions to higher-order nonlinear ordinary differential equations”

Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p -Laplacian

Yūki Naito (2011)

Mathematica Bohemica

Similarity:

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.