Ordinary differential equations. 2nd ed., unabridged, corrected republication of the 1982 original. (English) Zbl 1009.34001

Hartman, Philip

Classics in Applied Mathematics. 38. Philadelphia, PA: SIAM. xx, 612 p. (2002).

This edition is an unabridged and corrected version of the 1982 edition [Zbl 0476.34002].

Reviewer: A.Akutowicz (Berlin)

MSC:

34-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations
34A40	Differential inequalities involving functions of a single real variable
34D09	Dichotomy, trichotomy of solutions to ordinary differential equations
34D23	Global stability of solutions to ordinary differential equations
34C25	Periodic solutions to ordinary differential equations
34C45	Invariant manifolds for ordinary differential equations
34C20	Transformation and reduction of ordinary differential equations and systems, normal forms
34A30	Linear ordinary differential equations and systems
34E05	Asymptotic expansions of solutions to ordinary differential equations

Keywords:

ordinary differential equations; existence of solutions; differential inequalities; linear differential equation; well-posedness; dichotomies; characteristics; boundary value problems; Poincaré-Bendixson theory; periodic solution; invariant manifold; linearization; asymptotic stability; second-order equation

Citations:

Zbl 0476.34002; Zbl 0281.34001; Zbl 0214.09101; Zbl 0125.32102