On the asymptotic stability for impulsive functional differential equations
Acta Mathematica Hungarica, 2011Impulsive functional differential equations with finite delay are studied. The authors prove uniform asymptotic stability of the zero solution. They obtain some new Lyapunov functional in order to establish the obtained results. The paper generalizes some known results about the stability of impulsive functional differential equations.
Jiang, F., Shen, J.
openaire +2 more sources
Stability of impulsive functional differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2008This paper deals with the stability of impulsive functional differential equation in which the impulses depend on the delay. The authors obtain some stability results by means of Lyapunov functions and the Razumikhin technique. The work is illustrated by some examples.
Zhang, Yu, Sun, Jitao
openaire +2 more sources
Stability analysis of impulsive stochastic functional differential equations
Communications in Nonlinear Science and Numerical Simulation, 2020In this paper, the authors use the Razumikhin techniques and Lyapunov functions to investigate the stability of impulsive stochastic functional differential equations. The results show that impulses make contribution to the exponential stability of stochastic differential systems with any time delay even they are unstable.
Yingxin Guo, Quanxin Zhu, Fei Wang
openaire +1 more source
Stability in System of Impulsive Neutral Functional Differential Equations
Mediterranean Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
A new approach to stability of impulsive functional differential equations
Applied Mathematics and Computation, 2004The authors develop a new technique to study stability of impulsive functional-differential equations. This technique allows them to construct suitable Lyapunov functions.
Yepeng Xing, Maoan Han
openaire +2 more sources
Existence and multiplicity of positive periodic solutions for a class of higher-dimension functional differential equations with impulses [PDF]
This paper deals with the existence of multiple periodic solutions for n-dimensional functional differential equations with impulses. By employing the Krasnoselskii fixed point theorem, we obtain some easily verifiable sufficient criteria which extend ...
Zeng, Zhijun
exaly +2 more sources
Parametric Stability of Impulsive Functional Differential Equations
Journal of Dynamical and Control Systems, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
On the fractional differential equations with not instantaneous impulses [PDF]
Based on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq ∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems.
Xianmin Zhang +2 more
exaly +4 more sources
On impulsive fuzzy functional differential equations
2016In 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.
Vu, Ho, VanHoa, Ngo
openaire +1 more source
Impulsive neutral functional differential equations with variable times
Nonlinear Analysis: Theory, Methods & Applications, 2003The authors investigate the existence of solutions for first- and second-order impulsive neutral functional-differential equations with variable times. The fixed-point theorem due to Schaefer is used.
Benchohra, Mouffak, Ouahab, Abdelghani
openaire +1 more source

