On the zeros of a function related to Bessel functions
Martin E. Muldoon (1982)
Archivum Mathematicum
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Martin E. Muldoon (1982)
Archivum Mathematicum
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Fulton, Charles T., Wu, Limin, Pruess, Steven (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Marta García-Huidobro, Raúl Manásevich (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Marie Jiroušková (1977)
Archivum Mathematicum
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Yūki Naito (2011)
Mathematica Bohemica
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We consider the boundary value problem involving the one dimensional -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.