Stability of functional differential equations with variable impulsive perturbations via generalized ordinary differential equations

作者：Afonso S M; Bonotto E M^*; Federson M; Gimenes L P

来源：Bulletin des Sciences Mathematiques, 2013, 137(2): 189-214.

DOI：10.1016/j.bulsci.2012.10.001

• Generalized ordinary differential equations
• Impulsive functional differential equations
• Stability
• Lyapunov functionals

We consider a class of functional differential equations with variable impulses and we establish new stability results. We discuss the variational stability and variational asymptotic stability of the zero solution of a class of generalized ordinary differential equations where our impulsive functional differential equations can be embedded and we apply that theory to obtain our results, also using Lyapunov functionals.

• 出版日期2013-3