On the Inversion of Lagrange-Dirichlet Theorem

Authors

  • Piero Negrini Dipartimento di Matematica, Istituto "Guido Castelnuovo", Universita. La Sapienza

DOI:

https://doi.org/10.11606/resimeusp.v2i1.74721

Keywords:

Stability, Instability,

Abstract

We consider a Lagrangian differential system. The celebrated theorem of Lagrange-Dirichlet ensures that a stationary solution of this system is stable, provided that the corresponding critical point of the potential function is a proper {local} maximum.

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How to Cite

On the Inversion of Lagrange-Dirichlet Theorem. (2014). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 2(1), 83-114. https://doi.org/10.11606/resimeusp.v2i1.74721