Studies over the existence of a certain impulse-based fuzzy integrodifferential equations of the Sobolev type. [PDF]
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On impulse differential equations with delay
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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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