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On impulse differential equations with delay
Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2008 openaire +2 more sources
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Impulsive differential equations: Periodic solutions and applications
Automatica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaodi Li +2 more
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The solution manifolds of impulsive differential equations
Applied Mathematics Letters, 2021The 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, 2021The 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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Collocation methods for impulsive differential equations
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuhua Zhang, Hui Liang 0001
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On the Solvability of Impulsive Differential-Algebraic Equations
Ukrainian Mathematical Journal, 2005Summary: 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
2013Let \(\mathbb{R},\, \mathbb{N}\), 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, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valéry Covachev +2 more
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Impulsive Differential Equations
1995General description of impulsive differential systems linear systems stability of solutions periodic and almost periodic impulsive systems integral sets of impulsive systems optimal control in impulsive systems asymptotic study of oscillations in impulsive systems a periodic and almost periodic impulsive system.
A M Samoilenko, N A Perestyuk
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