ON AN ACCURATE ESTIMATE OF THE NUMBER OF ALGEBRAIC CURVES OF ALGEBRAICALLY NONINTEGRABLE POLYNOMIAL VECTOR FIELDS |
| 2 | |
| 2013 |
| MATHEMATICS |
| scientific article | 517.925 | ||
| 135-137 | algebraic integrability, particular integrals, algebraic differential equations, polynomial vector fields, algebraic curve. |
| It is proved that for algebraically nonintegrable polynomial vector fields of a degree greater than 4 an accurate estimate of irreducible algebraic invariant curves is not achieved in the class of fields having only linear particular integrals. |
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