Results 31 to 40 of about 1,301,601 (206)
Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
, 2000 We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng +8 more
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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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On a Two Dimensional Reaction-Diffusion System with Hypercyclical Structure [PDF]
, 2000 We study a hypercyclical reaction-diffusion system which arises in the modeling of catalytic networks and describes the emerging of cluster states.
Winter, M, Wei, J
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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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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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Higher-Order Energy Expansions and Spike Locations [PDF]
, 2004 We consider the following singularly perturbed semilinear elliptic problem: (I)\left\{ \begin{array}{l} \epsilon^{2} \Delta u - u + f(u)=0 \ \ \mbox{in} \ \Omega, \\ u>0 \ \ \mbox{in} \ \ \Omega \ \ \mbox{and} \ \frac{\partial u}{\partial \nu}
Winter, M, Wei, J
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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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Period Doubling in Singularly Perturbed Delay Equations
Journal of Differential Equations, 1994 The authors consider periodic solutions of the delay differential equation \((\epsilon> 0)\) \(\epsilon x'(t)= -x(t)+ f(x(t- 1),\lambda)\) assuming that \(\lambda= 0\) corresponds to a generic period doubling for the map \(x\to f(x, 0)\). Specifically, it is assumed that \[ f(x, \lambda)= -(1+ \lambda) x+ ax^ 2+ bx^ 3+ o(x^ 3),\quad x\to 0, \] where ...
Hale, J.K., Huang, W.Z.
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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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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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