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赵为礼 《数学物理学报(B辑英文版)》1992,(3)
By making use of the differential inequalities, in this paper we study the uniqueness of solutions of the two kinds of the singularly perturbed boundary value problems for the nonlinear third order ordinary differential equation with a small parameter ε>0: where i=1, 2; a(?)(ε), β(ε) and γ(ε) are functions defined on (0, ε_o], while ε_o>0 is a constant.This paper is the continuation of our works [4, 6]. 相似文献
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本文讨论了奇异地依赖于小参数ε>0的二阶非线性无穷边值问题(其中ai,β为常数,i=0,1)之解的存在性、唯一性及其渐近估计. 相似文献
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赵为礼 《应用数学和力学(英文版)》1991,12(11):1105-1116
In this paper the existence of solutions of the singularly perturbed boundary valueproblems on infinite interval for the second order nonlinear equation containing a smallparameterε>0 :is examined,whereα_i,βare constants,and i=0,1 .Moreover,asymptoticestimates of the solutions for the above problems are given. 相似文献
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一类三阶非线性边值问题的奇摄动 总被引:6,自引:0,他引:6
赵为礼 《数学年刊A辑(中文版)》1995,(3)
本文利用微分不等式技巧,研究了三阶非线性奇摄动边值问题解的存在性、唯一性及其渐近估计. 相似文献
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赵为礼 《数学物理学报(B辑英文版)》1994,(4)
ACLASSOFSINGULARLYPERTURBEDNONLINEARROBINPROBLEMSZhaoWeili(赵为礼)(DepartmentofMathematics.JilinUniversity,Changchun130023,China... 相似文献
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赵为礼 《应用数学学报(英文版)》1995,11(1):30-43
ACLASSOFSINGULARPERTURBATIONSFORSECONDORDERQUASI-LINEARBOUNDARYVALUEPROBLEMSONINFINITEINTERVALZHAOWEILI(赵为礼)(DepartmentofMath... 相似文献
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赵为礼 《应用数学和力学(英文版)》1989,(1)
In this paper existence,uniqueness and asymptotic estimations of solutions of theboundary value problems on infinite interval for the second order nonlinear equationdepending singularly on a small parameterε>0are examined,whereα,βare constants and,i=0,1. 相似文献
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本文讨论了含小参数ε>0的二阶非线性奇摄动无穷边值问题(其中ai,β为常数,i=0,1)之解的存在性,并且给出了解的渐近估计式. 相似文献