Abstract
This paper is concerned with the Cauchy Problem x(t;…(t, x(t)), x(t0;…0 ϵ Rn, where the vector fiel;…ay be discontinuous with respectto both variables t, x. If the total variation o;…long certain directions is locally finite, we prove the existence o;…nique solution, depending continuously on the initial data.
Original language | English (US) |
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Pages (from-to) | 772-778 |
Number of pages | 7 |
Journal | Proceedings of the American Mathematical Society |
Volume | 104 |
Issue number | 3 |
DOIs | |
State | Published - Nov 1 1988 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics