Global algebras of nonlinear generalized functions with applications in general relativity [PDF]
, 2013 We give an overview of the development of algebras of generalized functions in the sense of Colombeau and recent advances concerning diffeomorphism invariant global algebras of generalized functions and tensor fields.
Nigsch, Eduard A., Sämann, Clemens
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BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS [PDF]
Bulletin of the Australian Mathematical Society, 2008 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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On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]
, 2019 In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P. +2 more
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Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay [PDF]
, 2016 In this paper, we prove the local and global existence and attractivity of mild solutions for stochastic impulsive neutral functional differential equations with infinite delay, driven by fractional Brownian motion.Fondo Europeo de Desarrollo ...
Boudaoui, Ahmed +2 more
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Exponential Synchronization of the Hopfield Neural Networks with New Chaotic Strange Attractor
ITM Web of Conferences, 2017 This paper studies the problems of exponential synchronization for the Hopfield neural networks with impulsive effects and Gui chaotic strange attractor.
Gui Zhan-Ji, Wang Kai-Hua
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Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions [PDF]
, 2013 In this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space.
Machado, J. A. Tenreiro +3 more
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Stability of functional differential equations with impulses
Journal of Mathematical Analysis and Applications, 2007 The authors establish some comparison theorems for functional differential equations (FDE) with impulses using several Lyapunov-Razumikhin. The comparison theorems are employed to develop sufficient conditions for stability theorems for FDE. An example is given to illustrate the usefulness and advantages of the results.
Liu, Kaien, Fu, Xilin
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Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
Journal of Control Science and Engineering, 2016 A nonautonomous food-chain system with Holling II functional response is studied, in which multiple delays of digestion are also considered. By applying techniques in differential inequalities, comparison theorem in ordinary differential equations ...
Baodan Tian, Yanhong Qiu, Yucai Ding
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Schauder’s fixed-point theorem in approximate controllability problems
International Journal of Applied Mathematics and Computer Science, 2016 The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces.
Babiarz Artur +2 more
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Finite Horizon Impulse control of Stochastic Functional Differential Equations
SIAM Journal on Control and Optimization, 2023 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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