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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 593–604
(Mi zvmmf482)
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This article is cited in 2 scientific papers (total in 2 papers)
On a system of singularly perturbed second-order quasilinear ordinary differential equations in the critical cases
A. B. Vasil'eva, O. I. Panteleeva Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Abstract:
A singularly perturbed system of second-order quasilinear ordinary differential equations with a small parameter multiplying the second derivatives is examined in the case where the coefficient matrix of the first derivatives is singular and does not depend on the unknown functions.
Key words:
system of singularly perturbed second-order quasilinear ordinary differential equations, asymptotic method of analysis, critical case.
Received: 28.10.2004 Revised: 15.03.2005
Citation:
A. B. Vasil'eva, O. I. Panteleeva, “On a system of singularly perturbed second-order quasilinear ordinary differential equations in the critical cases”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 593–604; Comput. Math. Math. Phys., 46:4 (2006), 563–574
Linking options:
https://www.mathnet.ru/eng/zvmmf482 https://www.mathnet.ru/eng/zvmmf/v46/i4/p593
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