Biblioteca Univ. Surcolombiana

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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].
Contributor(s): Espinar, José M [autor] | Geodert, Guilherme T [Colaborador] | Mesa, Heber [Colaborador].
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 | Ecuaciones Diferenciales | Differential Equations, Partial | Ecuaciones diferenciales parciales | Ordinary differential equations -- General theory -- Geometric Methods | Ecuaciones diferenciales ordinarias -- Teoría General -- Métodos geométricos | Calculus of Variations and Optimal Control; Optimization. -- Optimality conditions | Cálculo de Variaciones y Control Óptimo; Mejoramiento. -- Condiciones de optimidad | Numerical analysis -- Ordinary differential equations -- Stability and convergence of numerical methods | Análisis numéricos -- Ecuaciones diferenciales ordinarias -- Estabilidad y convergencia de métodos numéricosDDC classification: 515.35 /
Contents:
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
Summary: 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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Item type Current location Collection Call number Copy number Status Notes Date due Barcode Item holds
Libros Libros Biblioteca Central
General 515.35 / V614d (Browse shelf) Ej. 1 Available CO 900000026818
Total holds: 0

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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