Compatible and Incompatible Nonuniqueness Conditions for the Classical Cauchy Problem
In the first part of this paper sufficient conditions for nonuniqueness of the classical Cauchy problem x˙=f(t,x), x(t0)=x0 are given. As the essential tool serves a method which estimates the “distance” between two solutions with an appropriate Lyapunov function and permits to show that under certa...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2011-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2011/743815 |