Abstract
In this work the instability of a degenerate equilibrium position is studied through the formal series solutions. The inversion of the Lagrange-Dirichlet stability theorem is proved in the case of two zero eigenvalues and a nondegenerate Newton′s diagram. This case includes all singularities appearing in a nonremovable way in families depending on not more than 16 parameters.
Original language | English |
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Pages (from-to) | 58-67 |
Number of pages | 10 |
Journal | Journal of Differential Equations |
Volume | 103 |
Issue number | 1 |
DOIs | |
State | Published - May 1993 |
Externally published | Yes |