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 Posted: Wed 10:12, 06 Apr 2011 Post subject: Second order semi- linear system of singularly per |
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Second order semi- linear system of singularly perturbed boundary value problems
] ChangK. Ⅳ, HowesF. A. NonlinearSingularPerturbationPhenomena: TheoryandApplication 【 M 】 . Springer-Verlag, 1984. 【 2] WangGeng. Shocksolutionforthesemi-linearsingularlyperturbedrobinproblem [J 】 . JofSunYat-senUniversity (NaturalScience), 2003,42 (Z2) :154-155. (inChinese). [3] OuyangCheng. Asingularperturbationtorobinboundaryvalueproblemofsemi-linearODFofsecondorder [J]. MathemarlcaScientia ,2005,25:251-255. inChinese). [4] HowesF. A, 0 E. Singularperturbationsofsecond-ordersemi-linearsystems, LecturenotesinMath, Springer-Verlag, NewY0rlc ,1980,827:131-150. 【 5] Vasili'evaA. B, ButuzovV. F. 111eboundaryfunctionmethodforsingularperturbationproblems 【 J]. SIAM, Philadelphia, PA. 1995. 【 6] SibuyaY. Someglobalpropertiesofmatricesoffunctionofonev ~ iab! E [. r1. Math, Ann ,1965,161:67-77. [7] EsipovaV. A. Asymptoticpropertiesofgeneralboundaryval-Heproblemforsingularperturbedconditionallystablesys-ternofordinarydifferentialequations. DifferentialEc, a-tions [~. 1975. 【 8 】 HUZHOU VOCATIONAL . Quasilinear singularly perturbed Robin problem [J]. Jinggangshan University (Natural Science ), 2005,26 (1 ) :21- 23. Asingularlyperturbedboundaryvalueproblemforsecondordersemi-linearsystemsTANGXiao-song (CollegeofMathematics & Physics, JinggangshanUniversity, Ji'an343009, China) Abstract: InthispaperASingularlyPerturbedBoundaryValueProblemforSecond-orderSemi-linearSys-ternsisstudiesbymethodofboundaryfunction,[link widoczny dla zalogowanych], wehaveprovedtheexistenceAndlocaluniquenessofsolutionofthisproblemhavegivenouttheuniformvalidapproximationsolution. Keywords: semi-linear; singularperturbation; methodofboundaryfunction; formalapproximationsolution; uniformlyvalid ( Editor: Peng Xiaodong )
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