On some aspects of oscillation theory and geometry
 Responsibility
 Bruno Bianchini, Luciano Mari, Marco Rigoli.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2013]
 Physical description
 v, 195 pages ; 26 cm.
 Series
 Memoirs of the American Mathematical Society ; no. 1056.
Access
Available online
Science Library (Li and Ma)
Serials
Call number  Status 

Shelved by Series title NO.1056  Unknown 
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Creators/Contributors
 Author/Creator
 Bianchini, Bruno, 1958
 Contributor
 Mari, Luciano, 1983
 Rigoli, Marco.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 187195) and index.
 Contents

 Introduction The geometric setting Some geometric examples related to oscillation theory On the solutions of the ODE $(vz')' Avz=0$ Below the critical curve Exceeding the critical curve Much above the critical curve Bibliography.
 (source: Nielsen Book Data)9780821887998 20160612
 Publisher's Summary
 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 manifolds with related topological and geometric applications. To keep their investigation basically selfcontained, the authors also collect some, more or less known, material which often appears in the literature in various forms and for which they give, in some instances, new proofs according to their specific point of view.
(source: Nielsen Book Data)9780821887998 20160612
Subjects
Bibliographic information
 Publication date
 2013
 Series
 Memoirs of the American Mathematical Society, 00659266 ; number 1056
 Note
 "September 2013, volume 225, number 1056 (first of 4 numbers)."
 ISBN
 9780821887998 (alk. paper)
 0821887998 (alk. paper)