Results 141 to 150 of about 594 (186)

Quasilinear singularly perturbed problem with boundary perturbation

Journal of Zhejiang University-SCIENCE A, 2004
A class of quasilinear singularly perturbed problems with boundary perturbation is considered. Under suitable conditions, using theory of differential inequalities we studied the asymptotic behavior of the solution for the boundary value problem.
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Singularly Perturbed Semilinear Robin Problems

Studies in Applied Mathematics, 1982
Several phenomena of current interest in catalytic reaction theory can be phrased in terms of solutions of singularly perturbed, second‐order, semilinear differential equations satisfying boundary conditions of Robin type. This paper offers a mathematical theory for such problems in both the scalar and the vector case, and treats some examples ...
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Interior Estimates for Singularly Perturbed Problems

Zeitschrift für Analysis und ihre Anwendungen, 1984
The solution of the Dirichlet problem for a singularly perturbed elliptic differential equation \epsilon L_1u + L_0u = h of order 2m converges, for
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On Singular Singularly Perturbed Initial Value Problems

SIAM Journal on Applied Mathematics, 1989
The singular system \(\epsilon z'(t)=F(z,t,\epsilon)\) with a small \(\epsilon >0\) and give z(0) is solved under certain assumptions in a finite interval [0,T] up to an O(\(\epsilon)\) in the case that F(Z,t,0) has an infinite family of solutions Z(t). The investigation combines the methods of \textit{A. B. Vasileva} and \textit{V. F.
Gu, Zhongmei, Nefedov, N. N., O'Malley, Robert E. jun.   +2 more
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Singularly Perturbed Optimal Tracking Problem

Differential Equations
We consider a singularly perturbed optimal tracking problem with a given etalon trajectory in the case of incomplete information about the state vector in the presence of external disturbances. To analyze the differential equations that arise when solving this problem, the decomposition method is used, which is based on the technique of integral ...
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Singularly Perturbed Cauchy Problems and Contrast Structures

Differential Equations, 2002
The authors consider the Cauchy problem for a singularly perturbed system of second-order differential equations. Sufficient conditions for the appearance of contrast structures of step and spike types for systems with piecewise smooth right-hand side were obtained by the authors [Differ. Equ. 36, No. 11, 1493--1510 (2000; Zbl 1056.34520), ibid. 37, No.
Neimark, Yu. I., Smirnova, V. N.
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Stability of a singularly perturbed problem

Differential Equations, 2012
In this paper the author studies stability of the system of telegraph equations under perturbation of one boundary condition and in the presence of small regular perturbations. The investigation employs some ideas of A. N. Tikhonov which he introduced in the analysis of singularly perturbed systems.
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Singularly Perturbed Problems in Case of Exchange of Stabilities

Journal of Mathematical Sciences, 2004
This report is devoted to a class of singularly perturbed differential equations which cannot be treated in the frame of the standard theory of singularly perturbed problems for ordinary as well as for partial differential equations. This new class of problems is called as it singularly perturbed problems in case of exchange of stabilities.
Butuzov, V. F., Nefedov, N. N., Schneider, K. R.   +2 more
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On a singularly perturbed, coupled parabolic–parabolic problem

Asymptotic Analysis, 2004
In this paper we study a model for convection–diffusion processes in which (1) the characters of both diffusion and convection change discontinuously at an internal domain point, (2) there is a small parameter ε, making it a singular perturbation problem, and (3) one of the boundary conditions is nonlinear.
Barbu, Luminiţa, Moroşanu, Gheorghe
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An $hp$-FEM for Singularly Perturbed Transmission Problems

Journal of Computational Mathematics, 2018
We perform the analysis of the $hp$ finite element approximation for the solution to singularly perturbed transmission problems, using Spectral Boundary Layer Meshes. In [12] it was shown that this method yields robust exponential convergence, as the degree $p$ of the approximating polynomials is increased, when the error is measured in the energy norm
Nicaise, S., Xenophontos, Christos A., Nicaise, S., Xenophontos, Christos A.   +3 more
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