Differential Equations : A Dynamical Systems Approach to Theory and Practice / Marcelo Viana, José M. Espinar ; in collaboration with Guilherme T. Goedert, Heber Mesa
By: Viana, Marcelo [autor]
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Contributor(s): Espinar, José M [autor]
| Geodert, Guilherme T [Colaborador]
| Mesa, Heber [Colaborador]
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Series: Graduate studies in mathematics: Providence, Rhode Island : American Mathematical Society, 2021Description: 536 páginas : ilustraciones, gráficos, figuras ; 25 cm.Content type: texto Media type: no mediado Carrier type: volumenISBN: 9781470465407.Subject(s): Differential equations![](/opac-tmpl/bootstrap/images/filefind.png)
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Item type | Current location | Collection | Call number | Copy number | Status | Notes | Date due | Barcode | Item holds |
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Biblioteca Central | General | 515.35 / V614d (Browse shelf) | Ej. 1 | Available | CO | 900000026818 |
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Includes bibliographical references and index
Introduction -- Local solutions -- Maximal solutions -- Numerical integration -- Autonomous equations -- Autonomous linear equations -- Nonautonomous linear equations -- Lyapunov stability -- Grobman - Hartman theorem -- Stable manifold theorem -- Vector fields on surfaces -- Poincaré-Hopf theorem -- Metric spaces and differentiable manifolds
This graduate-level introduction to ordinary differential equations combines both qualitative and numerical analysis of solutions, in line with Poincaré's vision for the field over a century ago.
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