Oscillations of Higher Order Functional Differential Equations with Impulses [PDF]
Abstract A kind of higher order sub-and super-linear FDE with impulses is studied in this paper. Several criteria on the oscillations of solutions are given. In particular, in the case where the coefficients of equations are positive and continuous functions, we find some suitable impulse functions such that all solutions of the equation
Zhang, Chaolong, Feng, Weizhen
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In this paper, we consider the nonlinear impulsive generalized fractional differential equations with (p,q)-Laplacian operator for ...
Jianwen Zhou +3 more
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Boundary value problem for the second order impulsive delay differential equations
We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order with impulses at fixed points.
Lidia Skóra
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Non-instantaneous impulses in differential equations [PDF]
This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population ...
Hristova, Snezhana +5 more
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Exponential stability for differential equations with random impulses at random times [PDF]
Impulsive differential equations with impulses occurring at random times arise in the modeling of real world phenomena in which the state of the investigated process changes instantaneously at uncertain moments.
Hristova, Snezhana +5 more
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Impulsive stabilization of stochastic functional differential equations
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Jun Liu 0015, Xinzhi Liu, Wei-Chau Xie
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Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique
This paper develops some new Razumikhin-type theorems on global exponential stability of impulsive functional differential equations. Some applications are given to impulsive delay differential equations.
Shiguo Peng, Liping Yang
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BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS [PDF]
AbstractIn the present paper an initial value problem for impulsive functional differential equations with variable impulsive perturbations is considered. By means of piecewise continuous functions coupled with the Razumikhin technique, sufficient conditions for boundedness of solutions of such equations are found.
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A New Comparison Principle for Impulsive Functional Differential Equations [PDF]
We establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results.
Gang Li, Weizhong Ling, Changming Ding
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Finite Horizon Impulse control of Stochastic Functional Differential Equations
In this work we show that one can solve a finite horizon non-Markovian impulse control problem with control dependant dynamics. This dynamic satisfies certain functional Lipschitz conditions and is path dependent in such a way that the resulting trajectory becomes a flow.
Johan Jönsson, Magnus Perninge
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