Singularly perturbed problems - Open Access .click

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Hysteresis in Singularly Perturbed Problems

2005
A discontinous hysteresis law is derived as a singular limit in differential equations with non-monotone nonlinearities arising, for example, in a model for instabilities of a fluid flow in a tube with pump and valve with uncertain parameters. The input-output ralation is considered in the space of regulated functions, and it is show that it preserves ...
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A Singularly Perturbed Turning Point Problem

1985
Differential equation problems that depend on small parameter ∈ in such a way that the order of the equation is lower for ∈ = 0 than for ∈≠ 0 but remains positive are now commonly called “singular perturbation problems.” The condition that the order remain positive for ∈ = 0 is not a very distinguishing property of the differential equation as such ...
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Interior Layers in Singularly Perturbed Problems

2016
To construct layer adapted meshes for a class of singularly perturbed problems, whose solutions contain boundary layers, it is necessary to identify both the location and the width of any boundary layers present in the solution. Additional interior layers can appear when the data for the problem is not sufficiently smooth.In the context of singularly ...
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Singularly perturbed filtering problems

2015
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Singularly Perturbed Boundary-Value Problems

2007
Luminiţa Barbu, Gheorghe Moroşanu
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