Remarks concerning J. Witte’s theorem and its applications. (English) Zbl 0627.34073

Banaś, Józef; Rivero, Jesus

Commentat. Math. Univ. Carol. 28, 23-31 (1987).

The authors show uniqueness for the solution of the initial value problem \(\dot x(t)=f(t,x)\), \(x(0)=x_ 0\) using a generalization of a Kamke comparison function.

Reviewer: R.Nagel

MSC:

34G20	Nonlinear differential equations in abstract spaces
34A12	Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations

Keywords:

first order differential equation; Kamke comparison function