Differential Equations, Dynamical Systems, and Linear Algebra

Morris W. Hirsch

Differential Equations, Dynamical Systems, and Linear Algebra - 1ra - New York : Academic Press, 1974 - 358 páginas

1.First examples. 2.Newton´s equations and Kepler’s Law. 3.Linear systems with constants coefficients and real eigenvalues. 4.Linear systems with constants coefficients and complex eigenvalues. 5.Linear systems and exponential of operators. 6.Linear systems and canonical forms of operators. 7.Contractions and generic properties of operators. 8.Fundamental theory. 9.Stability of equilibria. 10.Differential equations for electoral circuits. 11.The Poincare-Bendixson theorem. 12.Ecology. 13.Periodic attractors. 14.Classical mechanics. 15.Nonautonomous equations and differentiability of flows. 16.Perturbation theory and structural stability.

fcnm520

512.5I/M86