Viana, Marcelo
Differential Equations : A Dynamical Systems Approach to Theory and Practice / Marcelo Viana, José M. Espinar ; in collaboration with Guilherme T. Goedert, Heber Mesa - 536 páginas : ilustraciones, gráficos, figuras ; 25 cm. - Graduate studies in mathematics 212 . - Graduate studies in mathematics .
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.
9781470465407
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 numéricos.
515.35 / / V614d
Differential Equations : A Dynamical Systems Approach to Theory and Practice / Marcelo Viana, José M. Espinar ; in collaboration with Guilherme T. Goedert, Heber Mesa - 536 páginas : ilustraciones, gráficos, figuras ; 25 cm. - Graduate studies in mathematics 212 . - Graduate studies in mathematics .
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.
9781470465407
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 numéricos.
515.35 / / V614d