Results 161 to 170 of about 10,372 (181)

Singularly Perturbed Delay-Differential Equations

1983
In this paper a class of singularly perturbed delay-differential equation which, among other applications, describes an optical bistable device. In particular, the paper investigates chaotic behavior for certain parametric values. Earlier studies by others have predicted such results numerically and confirmed experimentally.
Shui-Nee Chow, John Mallet-Paret
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Singularly Perturbed Equations with Impulse Action

Ukrainian Mathematical Journal, 2002
We propose and justify an algorithm for the construction of asymptotic solutions of singularly perturbed differential equations with impulse action.
A. M. Samoilenko, Yu. I. Kaplun, V. H. Samoilenko   +2 more
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Runge-Kutta Discretizations of Singularly Perturbed Gradient Equations

BIT Numerical Mathematics, 2000
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Beyn, Wolf-Jürgen, Schropp, Johannes
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Singularly Perturbed Differential/Algebraic Equations.

1994
Abstract : In this paper, singularly perturbed nonlinear differential/algebraic equations (DAEs) are considered and a proof of the existence and uniqueness of a solution is given. Asymptotic expansions for such a solution are obtained and proved to be uniformly convergent.
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Averaging of Singularly Perturbed Controlled Stochastic Differential Equations

Applied Mathematics and Optimization, 2007
An averaged system to approximate the slow dynamics of a two timescale nonlinear stochastic control system is introduced. Validity of the approximation is established. Special cases are considered to illustrate the general theory.
Vivek Borkar, Vladimir Gaitsgory
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Singularly perturbed integrodifferential equations with unstable spectrum

Ukrainian Mathematical Journal, 1989
The author considers the initial value problem for the integro-ordinary differential equation \(\epsilon y'+xy+\lambda \int^{b}_{a}K(x,s)y(s)ds=f(x)\), \(x\in [a,b ...
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Singularly Perturbed Linear Ordinary Differential Equations

2015
In this chapter, we study systems of linear differential equations with variable coefficients.
S. M. Bauer, S. B. Filippov, A. L. Smirnov, P. E. Tovstik, R. Vaillancourt   +4 more
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Oscillations in Singularly Perturbed Delay Equations

1992
This paper presents some recent results on the scalar singularly perturbed differentila delay equation $$[v\dot x(t) + x(t) = f(x(t - 1)).$$ (1)
A. F. Ivanov, A. N. Sharkovsky
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SINGULARLY PERTURBED LOGISTIC DIFFERENCE EQUATION

Advances in Mathematics: Scientific Journal, 2020
A. M. A. EL-Sayed, S. M. Salman, A. M. A. Abo-Bakr   +2 more
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Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations

Differential Equations
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Besov, V. S., Kachalov, V. I.
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