Differential equations : linear, nonlinear, ordinary, partial /

The authors focus on constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. The many worked examples, based on interesting real world problems, the large selection of exercises, including several lengthier projects, the broad cover...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: King, A. C.
Otros Autores: Billingham, J., Otto, S. R. (Stephen Robert)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2003.
Temas:
Differential equations.
Équations différentielles.
MATHEMATICS > Differential Equations > General.
Differential equations
Differentialgleichung
Equações diferenciais (análise;textos elementares)
Equações diferenciais ordinárias (análise;textos elementares)
Equações diferenciais parciais (análise;textos elementares)
Sistemas dinâmicos.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Part one: Linear equations
  • 1. Variable coefficient, second order, linear, ordinary differential equations
  • 2. Legendre functions
  • 3. Bessel functions
  • 4. Boundary value problems, Green's functions and Sturm-Liouville theory
  • 5. Fourier series and the fourier transform
  • 6. Laplace transforms
  • 7. Classification, properties and complex variable methods for second order partial differential equations
  • Part two: Nonlinear equations and advanced techniques
  • 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations
  • 9. Nonlinear ordinary differential equations: Phase plane methods
  • 10. Group theoretical methods
  • 11. Asymptotic methods: Basic ideas
  • 12. Asymptotic methods: Differential equations
  • 13. Stability, instability and bifurcations
  • 14. Time-optimal control in the phase plane
  • 15. Introduction to chaotic systems.

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