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Agarwal, Ravi +3 more
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Controllability of the Second-Order Nonlinear Differential Equations with Non-instantaneous Impulses
Journal of Dynamical and Control Systems, 2017The paper is devoted to the controllability of a second order nonlinear differential equation with noninstantaneous impulses in a Hilbert space. A new set of sufficient conditions is established based on the strongly continuous cosine family of linear operators and Banach fixed point technique.
Kumar, Avadhesh +2 more
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Periodic Solutions for Conformable Non-autonomous Non-instantaneous Impulsive Differential Equations
Mathematica SlovacaAbstract This paper studies a new type of conformable non-autonomous non-instantaneous impulsive differential equations. We present the solution by a new kinds of conformable Cauchy matrix. Also, we present its some properties. Next, we respectively discuss about the existence and uniqueness of 𝓒-periodic solutions of linear homogeneous ...
Ding, Yuanlin, Liu, Kui
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Stability Analysis for a General Class of Non-instantaneous Impulsive Differential Equations
Mediterranean Journal of Mathematics, 2017In 1995, in the monograph by \textit{A. M. Samoilenko} and \textit{N. A. Perestyuk} [Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. Singapore: World Scientific (1995; Zbl 0837.34003)], necessary and sufficient conditions for the exponential stability have been established for the first order impulsive differential ...
JinRong Wang, Michal Fečkan, Ying Tian
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Integral boundary value problems for nonlinear non-instantaneous impulsive differential equations
Journal of Applied Mathematics and Computing, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Dan, Wang, JinRong
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Non-instantaneous Impulses in Differential Equations with Caputo Fractional Derivatives
2017Fractional calculus is the theory of integrals and derivatives of arbitrary non-integer order, which unifies and generalizes the concepts of ordinary differentiation and integration. For more details on geometric and physical interpretations of fractional derivatives and for a general historical perspective we refer the reader to the monographs [42, 45,
Ravi Agarwal +2 more
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Variational method to differential equations with instantaneous and non-instantaneous impulses
Applied Mathematics Letters, 2019A second-order differential equation with non-instantaneous impulses is studied. It is a partial case of instantaneous impulses. Applying a variational method, the existence of classical solutions is proved.
Yu Tian, Min Zhang
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Non-instantaneous impulsive fractional-order implicit differential equations with random effects
Stochastic Analysis and Applications, 2017ABSTRACTIn this article, we study existence and stability of a class of non-instantaneous impulsive fractional-order implicit differential equations with random effects. First, we establish a framework to study impulsive fractional sample path associated with impulsive fractional Lp-problem, and present the relationship between them. We also derive the
Dan Yang, JinRong Wang
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Semilinear fractional differential equations with infinite delay and non-instantaneous impulses
Journal of Fixed Point Theory and Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benchohra, Mouffak +2 more
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Time Optimal Control of a System Governed by Non-instantaneous Impulsive Differential Equations
Journal of Optimization Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
JinRong Wang +2 more
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