Lipschitz stability of impulsive functional-differential equations
نویسندگان
چکیده
منابع مشابه
On impulsive fuzzy functional differential equations
In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.
متن کاملAsymptotic Stability of Stochastic Impulsive Neutral Partial Functional Differential Equations
In this paper the authors study the existence and asymptotic stability in p-th moment of mild solutions to stochastic neutral partial differential equation with impulses. Their method for investigating the stability of solutions is based on the fixed point theorem.
متن کاملStability results for impulsive functional differential equations with infinite delay
For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium point. The results are used to give stability criteria for a very broad family of impulsive neural network models with both unbounded distributed delays and bounded time-varying...
متن کاملIntegral Φ0-Stability of Impulsive Differential Equations
In this paper, the notions of integral 0 φ -stability of ordinary impulsive differential equations are introduced. The definition of integral 0 φ -stability depends significantly on the fixed time impulses. Sufficient conditions for integral 0 φ -stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the s...
متن کاملExponential Stability of Impulsive Delay Differential Equations
and Applied Analysis 3 Note that V(t∗) = Q(t∗) + C 2 ‖Φ‖ τ e ∫ t ∗
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The ANZIAM Journal
سال: 2001
ISSN: 1446-1811,1446-8735
DOI: 10.1017/s1446181100012244