×

Global diffeomorphism question and differential equations. (English) Zbl 0754.34049

Qualitative theory of differential equations, 3rd Colloq., Szeged/Hung. 1988, Colloq. Math. Soc. János Bolyai 53, 465-471 (1990).
[For the entire collection see Zbl 0695.00015.]
It is an old question of the analysis when a continuously differentiable map \(f\) of \(R^ n\) with the assumption \(\text{det} f'(x)\neq0\) \((x\in R^ n)\) is globally one-to-one. The author discusses examples of a relation between this question and ordinary differential equations (e.g. the problem of global asymptotic stability).
Reviewer: L.Hatvani (Szeged)

MSC:

34D20 Stability of solutions to ordinary differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34A60 Ordinary differential inclusions

Citations:

Zbl 0695.00015
PDFBibTeX XMLCite