Results 31 to 40 of about 566 (183)
Advances in Nonlinear Analysis, 2020 In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
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Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations
Abstract and Applied Analysis, 2013 This paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations.
Şuayip Yüzbaşı, Mehmet Sezer
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Вестник КазНУ. Серия математика, механика, информатика, 2020 The mathematical models of many processes in physics, astrophysics, chemistry, biology, mechanics and technology are differential and integro-differential equations containing small parameters at the highest derivatives.
M. Dauylbayev, N. Aviltay, B. Kadirbekov
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On the Singularly Perturbed Matrix Differential Riccati Equation [PDF]
Proceedings of the 44th IEEE Conference on Decision and Control, 2006 In this paper, the finite-time optimal control problem for time-invariant linear singularly perturbed systems is considered. The reduced-order pure-slow and pure-fast matrix differential Riccati equations are obtained by decoupling the singularly perturbed differential matrix Riccati equation of dimension n 1 + n 2 into the regular differential matrix ...
Zoran Gajic +2 more
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The Asymptotics of Solutions of a Singularly Perturbed Equation with a of Fractional Turning Point
Известия Иркутского государственного университета: Серия "Математика", 2017 We develop the classical Vishik – Lyusternik – Vasil’eva – Imanaliev boundary-value method for constructing uniform asymptotic expansions of solutions of singularly perturbed equations with singular points.
D. A. Tursunov, K. G. Kozhobekov
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A Class of Shock Wave Solution to Singularly Perturbed Nonlinear Time-Delay Evolution Equations
Shock and Vibration, 2020 Nonlinear singularly perturbed problem for time-delay evolution equation with two parameters is studied. Using the variables of the multiple scales method, homogeneous equilibrium method, and approximation expansion method from the singularly perturbed ...
Yi-Hu Feng, Lei Hou
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Schwinger Equation as Singularly Perturbed Equation
, 1995 16 pages, plain LaTex, no figures.
Rochev, V. E., Saponov, P. A.
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Robust numerical method for singularly perturbed differential equations with large delay
Demonstratio Mathematica, 2021 In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter
Abdulla Murad Ibrahim +2 more
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On Singularly Perturbed Retarded Functional Differential Equations
Journal of Differential Equations, 2001 Here, the singularly perturbed system is considered: \[ \dot x(t) =F(t,x_t,y_{t, \varepsilon}),\;x(t)\in \mathbb{R}^n,\quad \varepsilon\dot y(t)=g (t,x_t,y_{t, \varepsilon}),\;y(t)\in \mathbb{R}^m, \] with \(x_t(\theta) =x(t+\theta)\), \(y_{t,\varepsilon} (\theta)= y(t+\varepsilon \theta)\), \(\theta\in [-\tau,0]\).
Artstein, Zvi, Slemrod, Marshall
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International Journal of Differential Equations, 2012 We have presented a numerical integration method to solve a class of singularly perturbed delay differential equations with small shift. First, we have replaced the second-order singularly perturbed delay differential equation by an asymptotically ...
Gemechis File, Y. N. Reddy
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