Classification of second‐order linear differential equations and an application to singular elliptic eigenvalue problems | Zendy

Naito Yūki | Zendy

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Classification of second‐order linear differential equations and an application to singular elliptic eigenvalue problems

Author(s) -

Naito Yūki

Publication year - 2012

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdr117

Subject(s) - mathematics , eigenvalues and eigenvectors , linear differential equation , mathematical analysis , differential equation , elliptic partial differential equation , oscillation (cell signaling) , order (exchange) , constant (computer programming) , physics , finance , quantum mechanics , biology , computer science , economics , genetics , programming language

We consider conditionally oscillatory second‐order linear differential equations with a parameter, and investigate the asymptotic behaviour and number of zeros of solutions to the equations. In particular, we find criteria for the equations to be oscillatory/nonoscillatory when the parameter is on the oscillation constant. We also show an application to singular elliptic eigenvalue problems on a ball in R N .

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