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On Some Aspects of Oscillation Theory and Geometry

On Some Aspects of Oscillation Theory and Geometry( )
Author: Bianchini, Bruno
Mari, Luciano
Rigoli, Marco
Series title:Memoirs of the American Mathematical Society Ser.
ISBN:978-0-8218-8799-8
Publication Date:Aug 2013
Publisher:American Mathematical Society
Book Format:Paperback
List Price:USD $86.00
Book Description:

The aim of this paper is to analyse some of the relationships between oscillation theory for linear ordinary differential equations on the real line (shortly, ODE) and the geometry of complete Riemannian manifolds. With this motivation the authors prove some new results in both directions, ranging from oscillation and nonoscillation conditions for ODE's that improve on classical criteria, to estimates in the spectral theory of some geometric differential operator on Riemannian...
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