On the asymptotic stability of oscillators with unbounded damping

Zvi Artstein, E. F. Infante
1976 Quarterly of Applied Mathematics  
Through a technique inspired by the invariance principle of LaSalle, a general growth condition on the damping coefficient h(t) of the equation is given which is sufficient for the global asymptotic stability of the origin yet permits this coefficient to grow to infinity with time. The methods used do not depend on linearity, and are applied to obtain similar results to the nonlinear analogue of this equation. * Received August 4, 1975.
doi:10.1090/qam/466789 fatcat:jx6c2h3b3ndxzlfty7qqbfqeny