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Stability Analysis for a Class of Stochastic Differential Equations with Impulses
Mathematics, 2023Linna Liu +2 more
exaly
1998
The authors extend the method of quasilinearization to the two-point boundary value problem for second-order impulsive differential equations \[ x{''}(t)=f(t,x(t)), \quad t_k < t < t_{k+1}, \;k = 0,\dots,m, \tag{1} \] \[ x(0) = a, \quad x(1) = b, \tag{2} \] \[ \Delta x(t_k) = u_k, \quad k = 1,\dots,m, \tag{3} \] \[ \Delta x^{'}(t_k) = v_k (x(t_k ...
Doddaballapur, Vidya, Eloe, Paul W.
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The authors extend the method of quasilinearization to the two-point boundary value problem for second-order impulsive differential equations \[ x{''}(t)=f(t,x(t)), \quad t_k < t < t_{k+1}, \;k = 0,\dots,m, \tag{1} \] \[ x(0) = a, \quad x(1) = b, \tag{2} \] \[ \Delta x(t_k) = u_k, \quad k = 1,\dots,m, \tag{3} \] \[ \Delta x^{'}(t_k) = v_k (x(t_k ...
Doddaballapur, Vidya, Eloe, Paul W.
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A New Measure of Robust Stablity for Linear Ordinary Impulsive Differential Equations
2016A new measure of robust stability for linear ordinary impulsive differential equations with periodic structure is introduced, based on the impulse extension concept. This new stability measure reflects the sensitivity of the model to uncertainty in what we see as the fundamental hypothesis of impulsive models: that the impulse effect occurs quicky ...
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The generalized solutions of ordinary differential equations in the impulse control problems
1996The purpose of the paper is to obtain a representation of a discontinuous solution for ordinary nonlinear differential equations with an impulse control. The main problem for this class of systems is to find the response of the dynamic system to an impulse control of a \(\square\)-function type.
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Positive solutions of boundary value problems for ordinary differential equations with impulse
1998Using a fixed point theorem for a completely continuous operator in a Banach space with a cone due to \textit{M. A. Krasnoselskij} [Positive solutions of operator equations. Groningen, P. Noordhoff (1964; Zbl 0121.10604)], the authors determine some values of the parameter \(\lambda\) for which there exists at least one positive solution to the ...
Eloe, Paul W., Henderson, Johnny
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A Contribution to the Study of Functional Differential Equations with Impulses
Mathematische Nachrichten, 2000Daniel Franco +2 more
exaly
On the fractional differential equations with not instantaneous impulses
Open Physics, 2016Xianmin Zhang +2 more
exaly
Exponential stability for differential equations with random impulses at random times
Advances in Difference Equations, 2013Ravi P Agarwal +2 more
exaly