Lyapunov functions for linear nonautonomous dynamical equations on time scales.
Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues
Lyapunov inequalities for one-dimensional -Laplacian problems with a singular weight function.
Lyapunov inequalities for time scales.
Lyapunov numbers for a countable system of ordinary differential equations
Lyapunov stability and stability at constantly acting disturbances of an abstract differential equation of the second order
Lyapunov stability of closed sets in impulsive semidynamical systems.
Lyapunov stability of quasilinear implicit dynamic equations on time scales.
Lyapunov stability theory for dynamic systems on time scales.
Lyapunov type inequalities for a second order differential equation with a damping term
For a second order differential equation with a damping term, we establish some new inequalities of Lyapunov type. These inequalities give implicit lower bounds on the distance between zeros of a nontrivial solution and also lower bounds for the spacing between zeros of a solution and/or its derivative. We also obtain a lower bound for the first eigenvalue of a boundary value problem. The main results are proved by applying the Hölder inequality and some generalizations of Opial and Wirtinger type...
Lyapunov type integral inequalities for certain differential equations.
Lyapunov-Razumikhin method for asymptotic stability of sets for impulsive functional differential equations.
Lyapunov-type inequality for higher-order differential equations