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Title: A necessary condition for twin boundary layer behavior (English)
Author: Howes, Frederick A.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 30
Issue: 1
Year: 1980
Pages: 80-83
Summary lang: English
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Category: math
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MSC: 34B15
MSC: 34E15
MSC: 34E20
idZBL: Zbl 0439.34047
idMR: MR565910
DOI: 10.21136/CMJ.1980.101657
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Date available: 2008-06-09T14:37:39Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101657
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Reference: [1] F. W. Dorr S. V. Parter, L. F. Shampine: Application of the Maximum Principle to Singular Perturbation Problems.SIAM Rev. 15 (1973), 44-88. MR 0320456
Reference: [2] F. A. Howes, S. V. Parter: A Model Nonlinear Problem Having a Continuous Locus of Singular Points.Studies in Appl. Math. 58 (1978), 249-262. Zbl 0378.34048, MR 0477348, 10.1002/sapm1978583249
Reference: [3] L. K. Jackson: Subfunctions and Second Order Ordinary Differential Inequalities.Adv. in Math. 2 (1968), 307-363. MR 0229896, 10.1016/0001-8708(68)90022-4
Reference: [4] M. Nagumo: Über die Differentialgleichung $у'' = f(x, у, у')$.Proc. Phys. Math. Soc. Japan 19 (1937), 861-866.
Reference: [5] A. B. Vasil'eva: Asymptotic Behavior of Solutions to Certain Problems Involving Nonlinear Differential Equations Containing a Small Parameter Multiplying the Highest Derivatives.Russian Math. Surveys 18 (1963), 13 - 84. MR 0158137, 10.1070/RM1963v018n03ABEH001137
Reference: [6] M. I. Vishík, L. A. Liusterník: Initial Jump for Nonlinear Differential Equations Containing a Small Parameter.Sov. Math. Dokl. 1 (1960), 749-752. MR 0120427
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