site stats

Theory of impulsive differential equations

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 … Webb4 feb. 1994 · Theory of Impulsive Differential Equations V. Lakshmikantham, D. Bainov, P. Simeonov Biology Series in Modern Applied Mathematics 1989 TLDR Impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems. 4,190

Impulsive differential equations (1995) Anatolii M. Samoilenko

WebbSome of these changes begin impulsively and are not negligible. For changes such as these, mathematical models called non-instantaneous differential equations are created. These models give rise to a new, hybrid dynamical system that can be used for many different purposes. Webb1 feb. 2015 · This paper deals with the periodic solutions problem for impulsive differential equations. By using Lyapunov’s second method and the contraction mapping principle, … how does chumba casino work https://klassen-eventfashion.com

Collocation methods for impulsive differential equations

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 … WebbThis 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 … WebbAlthough fascinating contributions have been conducted on impulsive stochastic differential equations, many have focused on theoretical aspects, such as stability analysis and control [ 16 - 18 ]. However, the contributions facing the computation of the 1-PDF for impulsive RDEs are still scarce. photo chute mur berlin

Variational approach to impulsive differential equations with …

Category:[PDF] Basic Theory Of Fractional Differential Equations Full Read ...

Tags:Theory of impulsive differential equations

Theory of impulsive differential equations

On Fractional Differential Equations with Riesz-Caputo Derivative …

Webb1 jan. 2008 · For background, theory, and applications of impulsive differential equations, we refer reader to the recent monograph of Graef et al. [22] as well as [4, 6, 27,37]. 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

Theory of impulsive differential equations

Did you know?

Webb11 apr. 2024 · This paper presents the dynamical aspects of a nonlinear multi-term pantograph-type system of fractional order. Pantograph equations are special … Webb1 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 …

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 ... Webb27 juli 2011 · About this book. Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which …

WebbTheory of Impulsive Differential Equations - V. Lakshmikantham 1989 Many evolution processes are characterized by the fact that at certain moments of time they experience … Webb7 rader · Theory of Impulsive Differential Equations Volume 6 of Series in modern applied mathematics: ...

Webb1 juni 2024 · We investigate a class of mixed boundary value problem of nonlinear impulsive fractional differential equations with a parameter. The uniqueness of this problem is proved by applying Banach...

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. photo church ladyWebb1 feb. 1994 · We attempt, in this paper, to develop the comparison principle that is needed in the set up of impulsive differential equations with variable moments of time and then … how does chuck mcgill dieWebb12 aug. 2008 · Some modern aspects of the theory of impulsive differential equations M. O. Perestyuk & O. S. Chernikova Ukrainian Mathematical Journal 60 , 91–107 ( 2008) Cite … photo chuck berryWebb20 okt. 2016 · Book Synopsis Basic Theory of Fractional Differential Equations by : Yong Zhou ... how does chunking affect working memoryWebbTheory of Impulsive Differential Equations - V. Lakshmikantham 1989 Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the photo chyler leighWebbHis areas of research include non-oscillation, maximum principle, boundary value problems for functional differential equations, theory of functional, stability of integro-differential … how does chunking boost memoryWebbThe last ten years or so have seen major developments in the theory of impulsive differential equations. In this chapter we present some of the more advanced results to date in the existence theory of nonlinear first order impulsive differential equations with … photo cicely tyson grave