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On some aspects of oscillation theory and geometry /
"The aim of this paper is to analyze 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 we prove some new results in both directions, ranging from...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2013]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1056. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_ocn852159536 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
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| 008 | 130708t20132012riu ob 000 0 eng | ||
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| 019 | |a 908065534 |a 922981636 | ||
| 020 | |a 9781470410568 |q (electronic bk.) | ||
| 020 | |a 1470410567 |q (electronic bk.) | ||
| 020 | |z 9780821887998 |q (alk. paper) | ||
| 020 | |z 0821887998 |q (alk. paper) | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Bianchini, Bruno, |d 1958- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjFYMrhH37v6mxXwYxtcpq | |
| 245 | 1 | 0 | |a On some aspects of oscillation theory and geometry / |c Bruno Bianchini, Luciano Mari, Marco Rigoli. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2013] | |
| 264 | 4 | |c ©2012 | |
| 300 | |a 1 online resource (v, 195 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v number 1056 | |
| 500 | |a "September 2013, volume 225, number 1056 (first of 4 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 187-195). | ||
| 505 | 0 | |a 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. | |
| 520 | 3 | |a "The aim of this paper is to analyze 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 we 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 our investigation basically self-contained we also collect some, more or less known, material which often appears in the literature in various forms and for which we give, in some instances, new proofs according to our specific point of view."--Page v. | |
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Difference equations |x Oscillation theory. | |
| 650 | 0 | |a Spectral theory (Mathematics) | |
| 650 | 0 | |a Differential equations, Elliptic. | |
| 650 | 6 | |a Équations aux différences |x Théorie de l'oscillation. | |
| 650 | 6 | |a Spectre (Mathématiques) | |
| 650 | 6 | |a Équations différentielles elliptiques. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Difference equations |x Oscillation theory |2 fast | |
| 650 | 7 | |a Differential equations, Elliptic |2 fast | |
| 650 | 7 | |a Spectral theory (Mathematics) |2 fast | |
| 700 | 1 | |a Mari, Luciano, |d 1983- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJdcCwJRrK3kMbH6P6Wv73 | |
| 700 | 1 | |a Rigoli, Marco, |e author. | |
| 758 | |i has work: |a On some aspects of oscillation theory and geometry (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGjpt7J9dtfjJHgXWyCgBq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Bianchini, Bruno, 1958- |t On some aspects of oscillation theory and geometry. |d Providence, Rhode Island : American Mathematical Society, [2013] |z 9780821887998 |w (DLC) 2013018354 |w (OCoLC)847529150 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1056. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114096 |z Texto completo |
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