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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.
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Asymptotic behavior of impulsive stochastic functional differential equations
Acta Mathematica Sinica, English Series, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Li Guang, He, Dan Hua
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Approximation of solutions to impulsive functional differential equations
Journal of Applied Mathematics and Computing, 2009The authors consider the impulsive semilinear functional differential equation \[ u'(t)+ Au(t)=f(t,u_t),\quad t\in (0,T), \;t\neq t_k, \] \[ \Delta u(t_k)=I_k(u(t_k)), \quad k=1,2,\dots, p,\tag{1} \] \[ u(t)=h(t), \quad t\in [-\tau,0], \] where \(-A\) is the infinitesimal generator of an analytic semigroup on a separable Hilbert space \(H\), \(I_k:H\to
Muslim, M., Agarwal, Ravi P.
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Razumikhin techniques in impulsive functional differential equations
Nonlinear Analysis: Theory, Methods & Applications, 1999Here, impulsive functional-differential equations are considered. The uniform stability for such equations is proved by extending the Lyapunov- Razumikhin theorems to impulsive functional-differential equations. Some examples are given.
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Exponential stability for impulsive stochastic functional differential equations
2011 International Conference on Multimedia Technology, 2011In this paper, we investigate the pth moment exponential stability of mild solutions to impulsive stochastic functional differential equations. Based on a fixed point approach, sufficient conditions are derived for achieving the required results.
null Lifang Guo +2 more
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Impulsive Functional-Differential Equations of Fractional Order with Variable Moments
Ukrainian Mathematical Journal, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solutions of Impulsive Fractional Neutral Functional Differential Equation
2018 International Conference on Robots & Intelligent System (ICRIS), 2018The existence of mild solution for impulsive fractional neutral differential equations is in the initial stage. The recent surge in developing the theory of fractional differential equations has motivated the present work. So we study semi-linear fractional neutral differential equations in a Banach space.
Huiping Fang, Heping Jiang, Jianwei Hu
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Impulsive hybrid interval-valued functional integro-differential equations
Journal of Intelligent & Fuzzy Systems, 2016In this paper, we study the global existence and uniqueness results for interval-valued functional integro-differential equations and impulsive hybrid interval-valued functional integro-differential equations under generalized Hukuhara derivative. Some examples are given to illustrate these results.
An, Truong Vinh +2 more
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DoFun 3.0: Functional equations in mathematica
Computer Physics Communications, 2020Markus Q Huber +2 more
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Functional Imaging of Cancer with Emphasis on Molecular Techniques
Ca-A Cancer Journal for Clinicians, 2007Mohamed Houseni
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