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Singularly Perturbed Initial Value Problems

1991
Readers should refer to Murray (1977) and to earlier chemical engineering literature [especially Bowen et al. (1963) and Heinekin et al. (1967)] for experts’ explanations of the significance of the pseudo-steady-state hypothesis in biochemistry. The theory of Michaelis and Menton (1913) and Briggs and Haldane (1925) concerns a substrate S being ...
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Singularly perturbed problems with double singularity

Mathematical Notes, 1997
The author deals with systems of linear differential equations \[ \varepsilon^{m_1}\bigl(\delta_0(x)+\varepsilon\bigr)^{m_2}{dy\over dx}=A(x,\varepsilon)y+f(x), \] with \(\delta_0(x)>0\) for \(x\in(0,1)\), \(\delta_0 (0)=\delta_0(1)=0\), \(m_1,m_2\) are positive integers (which determine the two singularities \(x=0\) and \(x=1\), respectively) and the ...
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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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