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Existence and controllability analysis of multi-term fractional coupled systems with generalized [Formula: see text]-Caputo-Fabrizio operators. [PDF]

Sci Rep
Saad KM, Abdo MS, Hamanah WM.
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The solution manifolds of impulsive differential equations

Applied Mathematics Letters, 2021
The paper investigates the solution manifolds for the following parabolic impulsive differential equation with state-dependent delay \[ \frac{dx(t)}{dt}+Ax(t)=F(x_t), \]\[ \Delta x|_{t=t_k}=I_k(x(t_k)), \] where \(A\) is the infinitesimal generator of semigroups.
Pengyu Chen, Weifeng Ma
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Chaos for Differential Equations with Multivalued Impulses

International Journal of Bifurcation and Chaos, 2021
The deterministic chaos in the sense of a positive topological entropy is investigated for differential equations with multivalued impulses. Two definitions of topological entropy are examined for three classes of multivalued maps: [Formula: see text]-valued maps, [Formula: see text]-maps and admissible maps in the sense of Górniewicz.
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Numerical methods for impulsive differential equation

Mathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
X. J. Ran, M. Z. Liu, Q. Y. Zhu
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Collocation methods for impulsive differential equations

Applied Mathematics and Computation, 2014
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Zuhua Zhang, Hui Liang 0001
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On the Solvability of Impulsive Differential-Algebraic Equations

Ukrainian Mathematical Journal, 2005
Summary: We establish theorems on the existence and uniqueness of a solution of the impulsive differential-algebraic equation. The results are applied to the theory of electric circuits.
Vlasenko, L. A., Perestyuk, N. A.
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Impulsive Differential Equations

2013
Let \(\mathbb{R},\, \mathbb{N}\), and \(\mathbb{Z}\) be the sets of all real numbers, natural numbers, and integers, respectively. Denote by \(\theta =\{\theta _{i}\}\) a strictly increasing sequence of real numbers such that the set \(\mathcal{A}\) of indexes i is an interval in \(\mathbb{Z}.\) The sequence θ is a B−sequence, if one of the following ...
Marat Akhmet, Enes Yılmaz
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Difference approximations for impulsive differential equations

Applied Mathematics and Computation, 2001
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Valéry Covachev, Haydar Akça, Ali Fuat Yeniçerioglu   +2 more
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Impulsive fractional partial differential equations

Applied Mathematics and Computation, 2015
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Tian Liang Guo, KanJian Zhang
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Strict Stability of Impulsive Differential Equations

Acta Mathematica Sinica, English Series, 2005
The authors investigate strict stability of differential equations with impulsive effect of the form \[ dx/dt=f(t,x) \text \;{ for } \;t>t_0, t\neq \tau_k, \text{ and } \;x(\tau_k)-x(\tau_k^-)=I_k(x(\tau_k^-)). \] By using a Lyapunov function, the authors get criteria for strict stability of the zero solution of this system, and they show that impulses
Zhang, Yu, Sun, Jitao
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