Razumikhin method and cone valued Lyapunov functions for impulsive differential equations with 'supremum' Online publication date: Wed, 20-Jan-2010
by Snezhana G. Hristova
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 2, No. 3/4, 2009
Abstract: Stability of nonlinear impulsive differential equations with 'supremum' is studied. A special type of stability, combining two different measures and a dot product on a cone, is defined. Perturbing cone-valued piecewise continuous Lyapunov functions have been applied. Method of Razumikhin as well as comparison method for scalar impulsive ordinary differential equations have been employed.
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