On Some Aspects of Oscillation Theory and Geometry |
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| Author:
| Bianchini, Bruno
Mari, Luciano
Rigoli, Marco |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-8799-8 |
| Publication Date: | Sep 2013 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $86.00USD $86.00 |
Book Description:
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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...
More DescriptionThe 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 manifolds with related topological and geometric applications.