ON THE NUMBER OF LINEAR PARTIAL INTEGRALS OF POLYNOMIAL VECTOR FIELDS |
| 3 | |
| 2014 |
| MATHEMATICS |
| scientific article | 517.925 | ||
| 91-93 | algebraic integrability, polynomial vector fields, particular integrals, first integrals, differential equations. |
| A polynomial vector field of degree n at least two is proved to have no more than 3 n -1 different linear partial integrals, the estimate being accurate for second-, third- and fourth-order nonlinearities. |
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