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奇摄动三阶非线性边值问题
引用本文:王国灿.奇摄动三阶非线性边值问题[J].吉林大学学报(理学版),1997(4).
作者姓名:王国灿
作者单位:大连铁道学院基础部!大连,116028
摘    要:利用微分不等式技巧和Volterra型积分算子,研究了三阶非线性奇摄动边值问题解的存在性、唯一性及渐近估计.

关 键 词:奇摄动  微分不等式  Volterra型算子  边值问题

Singularly Perturbed Third Order Nonlinear Boundary Value Problems
Wang Guocan.Singularly Perturbed Third Order Nonlinear Boundary Value Problems[J].Journal of Jilin University: Sci Ed,1997(4).
Authors:Wang Guocan
Abstract:This article deals with the existence, uniqueness and asymptotic estimates of the solutions of the singularly perturbed boundary value problems for a class of the third order nonlinear differentialequation: , satisfying the condition g (x'(0), x"(0) )=0, x(1)=A, x'(1)=B by means of differential inequality and Volterra operator.
Keywords:singular perturbation  differential inequality  Volterra operator  boundary value problem
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