[PDF] Top 20 On eventual stability of impulsive systems of differential equations
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On eventual stability of impulsive systems of differential equations
... of impulsive systems of differential equations is much richer in problems in comparison with the corresponding theory of ordinary differential ...the impulsive systems of differential ... See full document
10
Formulation of Impulsive Differential Equations with Time-Dependent Continuous Delay
... of impulsive systems was developed not long ago as an independent area of mathematical ...biological systems described by ordinary differential equations is continuous and integrable in ... See full document
7
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional order differential equations
... In the beginning, this concept was applied to ordinary differential equations and then ex- tended to FODEs. We refer the readers to [39–44]. Very recently, Ali et al. [45], studied the Ulam-type stability ... See full document
21
LMI based robust exponential stability criterion of impulsive integro differential equations with uncertain parameters via contraction mapping theory
... Impulsive uncertain BAM neural networks modeling brings about some mathematical dif- ficulties to the applications of the contraction mapping theorem. Thereby, the contraction mapping theorem has never been ... See full document
16
Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
... By successful applications of nonlinear analysis and classical fixed point theory, we have developed adequate conditions under which the proposed class of implicit impulsive FODEs has at least one solution. ... See full document
21
Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time varying delay
... the impulsive transients depending not only on their current states but also on historical states of the ...security systems based on impulsive synchro- ...the impulsive transients depend on ... See full document
23
Ulam–Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions
... differential equations with impulsive conditions have been considered extensively in the literature, but in the case of non-integer order differential equations the problems still need further ... See full document
27
BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS VIA LYAPUNOV FUNCTIONAL
... Differential equations with impulsive effect provide mathematical models for many phenomena and processes in the field of natural sciences and ...developed stability theory of functional ... See full document
9
Orbital Euclidean Stability of the Solutions of Impulsive Equations on the Impulsive Moments
... Euclidean stability of the solutions of impulsive differential equations can start after finding the above-mentioned estimates and more precise of the technology for their ...these ... See full document
8
A Survey on Oscillation of Impulsive Ordinary Differential Equations
... asymptotic stability of the zero solution of ...differential equations with impulses has received attention much later ...of impulsive differential equations has been well established, the ... See full document
52
Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives
... coupled impulsive fractional differential systems given in ...Hyers–Ulam stability results for the solution of the considered problem ...coupled impulsive fractional differential ... See full document
27
Stability implications on the asymptotic behavior of nonlinear systems
... Stability Implications on the Asymptotic Behavior of Second Order Differential Equations, Proc.. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.[r] ... See full document
8
Exponential stability of mild solutions to impulsive stochastic neutral partial differential equations with memory
... exponential stability of impulsive stochastic neutral partial differential equations with memory by establishing a new integral ...general impulsive stochastic neutral ... See full document
9
Impulsive Hilfer fractional differential equations
... differential equations can be observed in many areas such as popula- tion dynamics, heat conduction in materials with memory, seepage flow in porous media, autonomous mobile robots, fluid dynamics, traffic models, ... See full document
20
The existence and exponential stability of random impulsive fractional differential equations
... This paper studies the properties of solutions to system (1.1) by using the theory of func- tional differential equation, fractional differential equation, and stochastic analysis tech- niques. Firstly, we investigate the ... See full document
17
Asymptotical stability of Runge Kutta for a class of impulsive differential equations
... differential equations without impulses and they noted that such equations were comprehensively related to impulsive and difference equa- tions ...differential equations with piecewise continuous ... See full document
14
Existence and stability of almost periodic solutions for impulsive differential equations
... Remark 3.2 As we pointed out in Introduction, to get the almost periodic solutions of impulsive differential equations, most people use the Contraction theorem. To be different, we use Schauder’s ... See full document
14
Exponential stability of random impulsive semilinear integro-differential systems
... Proof. Let ⨁ be the map defined in theorem 3.1. In order to prove the exponential stability of the solution of (2.1)-(2.3) by contraction mapping principle, first we have to prove the continuity of ⨁ on [𝛿, 𝑇]. ... See full document
13
Stability for impulsive implicit Hadamard fractional differential equations
... Recently, H.L.Tidke and R.P.Mahajan [21] investigated the existence, uniqueness of nonlinear implicit fractional dif- ferential equations involving Riemann-Liouville derivative by Banach fixed point theorem. In ... See full document
6
Oscillation of the systems of impulsive hyperbolic partial differential equations
... of impulsive partial differential equation, the oscillation theory of impulsive partial differential equation has various applications therefore it has aroused great study interests in recent ... See full document
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