Third-order nonlinear singularly perturbed boundary value problem

被引：1
作者：
Wang Guo-can
Jin Li
机构：
[1] Dalian Railway Institute,Department of Basic Science and Engineering
来源：
Applied Mathematics and Mechanics | 2002年 / 23卷 / 6期
关键词：
third order boundary value problem; upper and lower solutions; Volterra type integral operator; existence and asymptotic estimates; O175.8;
D O I：
10.1007/BF02437651
中图分类号：
学科分类号：
摘要：
Third order singulary perturbed boundary value problem by means of differential inequality theories is studied. Based on the given results of second order nonlinear boundary value problem, the upper and lower solutions method of third order nonlinear boundary value problems by making use of Volterra type integral operator was established. Specific upper and lower solutions were constructed, and existence and asymptotic estimates of solutions under suitable conditions were obtained.
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页码：670 / 677
页数：7
相关论文
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  • [3] Qui-de Zhou(1988)Singular perturbations for Voterra type integrodifferential equation[J] Appl Math J Chinese Univ 3 392-400
  • [4] Xiang Zhang(1995)Singular perturbations for a third-order boundary value problem[J] J Anhui Normal Univ Nat Sci 18 15-15
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