Theory of impulsive differential equations

Webb22 juli 2014 · The theory of impulsive differential equations describes processes which experience a sudden change of their state at certain moments. Processes with such a character arise naturally and often, especially in phenomena studied in physics, chemical technology, population dynamics, biotechnology, and economics. Webbimpulsive differential equations are sought by using the Euler method. The algorithm proposed is interpreted according to the theory of impulsive differential equations written by V. Lakshmikantham et. al [8]. Based on the theory, the better numerical solution of the problem is illustrated in the examples. 2. Impulsive Differential Equations ...

Impulsive stochastic fractional differential equations driven by ...

WebbNon-Instantaneous Impulsive Differential Equations. Basic theory and computation. Authors JinRong Wang and Michal Fečkan Published November 2024. Download ebook. … Webb31 juli 1995 · Abstract: Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The … importance of oops in python https://hitechconnection.net

Comparison principle for impulsive differential equations with …

Webb1 apr. 2024 · Impulsive differential equation is extensively applied in the description of a variety of physical properties and practical situations, owning to its better reflection of the impact of instantaneous burst factors on the system state. Webb1 jan. 2013 · Let us consider a differential equation with impulses, \displaystyle\begin {array} {rcl} & & x^ {\prime} (t) = f (t,x), \\ & & \Delta x\vert _ {t=\theta _ {i}} = J_ {i} (x), … WebbThis paper investigates the pth moment exponential stability of impulsive stochastic functional differential equations. Some sufficient conditions are obtained to ensure the … importance of open educational resources

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Theory of impulsive differential equations

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WebbThe impulsive control system (1) is said to be: (a) -practically stable with respect to the function h, if given with , we have , implying for some ; (b) -uniformly practically stable with respect to the function h, if (a) Definition 1 holds for every ; (c) -globally practically exponentially stable with respect to the function h, if given with and Webb1 juni 2024 · This paper investigates the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional …

Theory of impulsive differential equations

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Webb4 feb. 2024 · In this research, we study the existence and uniqueness results for a new class of stochastic fractional differential equations with impulses driven by a standard Brownian motion and an independent fractional Brownian motion with Hurst index 1/2< H<1 under a non-Lipschitz condition with the Lipschitz one as a particular case. Webb1 maj 1989 · Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of …

Webb6 feb. 2024 · Study of implicit-impulsive differential equations involving Caputo-Fabrizio fractional derivative Thanin Sitthiwirattham, Rozi Gul, Kamal Shah, Ibrahim Mahariq and … WebbAuthors: Tao Yang. This book is the first one that systematically discusses the theory of impulsive control. This book serves as a bridge between the pure mathematical theory …

Webb1 feb. 2010 · DOI: 10.1016/J.NONRWA.2008.10.016 Corpus ID: 120612779; Variational approach to impulsive differential equations with periodic boundary conditions … WebbImpulsive differential equations arise widely in the study of medicine, biology, economics, engineering, and so forth. In recent years, theory of impulsive differential delay …

WebbHis areas of research include non-oscillation, maximum principle, boundary value problems for functional differential equations, theory of functional, stability of integro-differential …

WebbIn this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of boundary value problems for implicit ψ-Caputo fractional differential equations with non-instantaneous impulses involving both retarded and advanced arguments.The results are based on the Banach contraction principle and Krasnoselskii’s fixed point … literary books 2016WebbThis article deals with the existence, uniqueness and Ulam type stability results for a class of boundary value problems for fractional differential equations with Riesz-Caputo fractional derivative. The results are based on Banach contraction principle and Krasnoselskii's fixed point theorem. importance of open questions in counsellingWebbDifferential Equations with Impulse Effects Multivalued Right-hand Sides with Discontinuities . Significant interest in the investigation of systems with discontinuous … importance of operations researchWebb31 aug. 1995 · General 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. View via Publisher … importance of opening bank accountWebb1 feb. 2014 · In this paper, we use collocation methods to investigate the following impulsive differential equation: (1.1) y ′ ( t) = a ( t) y ( t), t ≠ τ k, t ∈ I ≔ [ 0, T], y = B k y, t = τ k, k = 0, 1, …, y ( 0 +) = y 0, where a: I → R is a given function and sufficient smooth, y = y ( t +) - y ( t), y ( t +) is the right limit of y ( t), 0 = τ - 1 < τ … importance of operations research in businessliterary bloomsWebbThis contribution aims at studying a general class of random differential equations with Dirac-delta impulse terms at a finite number of time instants. Our approach directly … importance of opinion and assertion