Results 11 to 20 of about 3,092 (168)
On Exact Controllability of First-Order Impulsive Differential Equations
Advances in Difference Equations, 2010 Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations.
Juan J. Nieto, Christopher C. Tisdell
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Random Fuzzy Differential Equations with Impulses [PDF]
Complexity, 2017 We consider the random fuzzy differential equations (RFDEs) with impulses. Using Picard method of successive approximations, we shall prove the existence and uniqueness of solutions to RFDEs with impulses under suitable conditions. Some of the properties of solution of RFDEs with impulses are studied.
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Regularity Coefficients for Impulsive Differential Equations
The Quarterly Journal of Mathematics, 2020 Abstract For a linear impulsive differential equation, we introduce a Lyapunov regularity coefficient following as far as possible the non-impulsive case. We recall that a regularity coefficient is a quantity that characterizes the Lyapunov regularity of the dynamics.
Barreira, Luis, Valls, Claudia
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Existence of solutions for quasilinear random impulsive neutral differential evolution equation
Arab Journal of Mathematical Sciences, 2018 This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
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Mathematics, 2020 We study first order linear impulsive delay differential equations with periodic coefficients and constant delays. This study presents some new results on the asymptotic behavior and stability.
Ali Fuat Yeniçerioğlu +2 more
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Impulsive Hilfer fractional differential equations
Advances in Difference Equations, 2018 Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established ...
Hamdy M. Ahmed +3 more
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Non-autonomous bifurcation in impulsive systems
Electronic Journal of Qualitative Theory of Differential Equations, 2013 This is the first paper which considers non-autonomous bifurcations in impulsive differential equations. Impulsive generalizations of the non-autonomous pitchfork and transcritical bifurcation are discussed. We consider scalar differential equation with
Marat Akhmet, Ardak Kashkynbayev
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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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Asymptotic Behavior of Impulsive Differential Equations
Rocky Mountain Journal of Mathematics, 1996 This is one of the first works devoted to the study of asymptotic behaviour of solutions of the following impulsive system: \(x' = f(t,x)\), \(t \neq t_i\), \(\Delta x(t_i) = \varphi_i (x(t_i))\), \(t_i \to + \infty\), \((t,x) \in \mathbb{R}_+ \times \mathbb{R}^n\).
González, Patricio +1 more
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مجلة بغداد للعلوم, 2020 In this paper, some necessary and sufficient conditions are obtained to ensure the oscillatory of all solutions of the first order impulsive neutral differential equations. Also, some results in the references have been improved and generalized.
Jaddoa et al.
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