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We are considering here the stability of a mechanical system state, either discrete or continuous, subject to overall stresses, whether or not dependent on speed, having variational movement equations for small disturbances which are differential equations of the second degree in respect to time and with a formal structure, frequent in several problems of stability in continuous media and system of solid rigid particles. Stability and asymptotic stability criteria are obtained, thus generalising known results, considering self-value problems for exponential type results in respect to time.

Sobre condiciones suficientes de estabilidad para sistemas mecánicos sometidos a fuerzas dependientes de la velocidad por un método variacional