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Impulsive differential equations: Periodic solutions and applications
Automatica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Collocation methods for impulsive differential equations
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Strict Stability of Impulsive Differential Equations
Acta Mathematica Sinica, English Series, 2005The 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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