| THE SINGULARLY PERTURBED NONLINEAR ELLIPTIC SYSTEMS |
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| 作者姓名： | YE Qin |
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| 作者单位： | YE Qin(Tongji University，Shanghai 200092，China)MO Jiaqi(Anhui Normal University Wuhu 241000，China) |
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| 摘 要： | Mostudiedaclassofsingularlyperturbedboundaryvalueproblemsforellipticequationsin{3--8].Nowweconsiderthefollowingsingularlyperturbedproblemeisapositiveparameter,x=(xl,x2,')x.)Ea,t]denotesaboundedregioninR",onsignifiesthepiecewisesmoothboundaryofa.Thispaperisconcernedwiththesingularlyperturbedproblem(1)--(2),andweconstructtheasymptoticexpansionsofsolution,anddiscusstheirasymptoticbehavior.Weneedthefollowinghypotheses:HI]ThecoefficientsofL,fiandgiaresufficientlysmoothfunctionswithregardtothei…
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THE SINGULARLY PERTURBED NONLINEAR ELLIPTIC SYSTEMS |
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| YE Qin.THE SINGULARLY PERTURBED NONLINEAR ELLIPTIC SYSTEMS[J].Journal of Systems Science and Complexity,1999(4). |
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| Authors: | YE Qin |
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| Abstract: | The singularly perturbed problems for elliptic systems are considered. Undersuitable conditions, using the comparison theorem the asymptotic behavior of solution forthe boundary value problems are studied. |
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| Keywords: | Elliptic system singular perturbation comparison theorem |
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