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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 3, Pages 379–383
(Mi zvmmf8069)
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This article is cited in 4 scientific papers (total in 4 papers)
Boundary layers in the solution of singularly perturbed boundary value problem with a degenerate equation having roots of multiplicity two
A. B. Vasil'eva Faculty of Physics, Moscow State University, Moscow, 119992 Russia
Abstract:
The occurrence of exponential boundary layers in a second-order ordinary differential equation due to the fact that the degenerate equation has a root of multiplicity two is briefly reviewed.
Key words:
singularly perturbed ordinary differential equation of second order, existence of roots of degenerate equation, boundary layers, the method of upper and lower solutions.
Received: 29.04.2010 Revised: 01.08.2010
Citation:
A. B. Vasil'eva, “Boundary layers in the solution of singularly perturbed boundary value problem with a degenerate equation having roots of multiplicity two”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 379–383; Comput. Math. Math. Phys., 51:3 (2011), 351–354
Linking options:
https://www.mathnet.ru/eng/zvmmf8069 https://www.mathnet.ru/eng/zvmmf/v51/i3/p379
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