Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611550 | Journal of Differential Equations | 2010 | 10 Pages |
Abstract
We show that if X is an infinite-dimensional separable Banach space (or more generally a Banach space with an infinite-dimensional separable quotient) then there is a continuous mapping f:X→X such that the autonomous differential equation x′=f(x) has no solution at any point.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis