Results 91 to 100 of about 1,301,601 (206)
In this paper, a numerical method based on Shishkin mesh for a singularly perturbed fourth order differential equation with a turning point exhibiting boundary layers is presented. In this method the problem is transformed into a weakly coupled system of
N. Geetha, A. Tamilselvan
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The article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
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Numerical Methods for Singularly Perturbed Differential Equations
Some simple examples are given of boundary layers appearing in solutions of second order differential equations.
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Bifurcation of Solution in Singularly Perturbed ODEs by Using Lyapunov Schmidt Reduction
This paper aims to study the bifurcation of solution in singularly perturbed ODEs: the hypothesis the bifurcation of ...
A. H.Kamil, K. H. Yasir
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Boundary layer analysis for nonlinear singularly perturbed differential equations
This paper focuses on the boundary layer phenomenon arising in the study of singularly perturbed differential equations. Our tools include the method of lower and upper solutions combined with analysis of the integral equation associated with the class ...
Robert Vrabel, V. Liska, I. Mankova
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Singularly perturbed equations of degenerate type
This work is devoted to the study of nonvariational, singularly perturbed elliptic equations of degenerate type. The governing operator is anisotropic and ellipticity degenerates along the set of critical points. The singular behavior is of order \text{O}\left(\frac{1}{\epsilon }\right)
Damião J. Araújo +2 more
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Asymptotic Solution of the Singularly Perturbed Infinite Dimensional Riccati Equation [PDF]
A singularly perturbed linear-quadratic optimal control problem in an infinite dimensional Hilbert space is considered. An asymptotic solution of the corresponding operator Riccati equation is constructed. This result is illustrated by its application to
Glizer, Valery Y.
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Strongly interacting bumps for the schrodinger-newton equations [PDF]
We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod proved the existence and uniqueness of ground states.
Winter, M, Wei, J
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Existence of Kink and Antikink Wave Solutions of Singularly Perturbed Modified Gardner Equation
In this paper, the singularly perturbed modified Gardner equation is considered. Firstly, for the unperturbed equation, under certain parameter conditions, we obtain the exact expressions of kink wave solution and antikink wave solution by using the ...
Weifang Yan, Linlin Wang, Min Zhang
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On The Two Dimensional Gierer-Meinhardt system with strong coupling [PDF]
We construct solutions with a single interior condensation point for the two-dimensional Gierer-Meinhardt system with strong coupling. The condensation point is located at a nondegenerate critical point of the diagonal part of the regular part
Winter, M, Wei, J
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