Stability in two Measures Cone-Valued Piecewise Continuous Lyapunov Functions Impulsive Differential Equations with "Supremum"
University Press "Paisii Hilendarski", Plovdiv
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.