Existence and Asymptotic of Solution for Third Order Boundary Value Problem

摘要：

Third order singularly perturbed boundary value problem by means of differential inequality theories is studied.Based on the results of second order nonlinear boundary value problems of Volterra type integrodifferential equation,the upper and lower solutions method of third order nonlinear boundary value problems was established.Specific upper and lower solutions were constructed,and existence and asymptotic estimates of solutions under suitable condition were obtained.The result showed that is seems new to apply these techniques to solving these kinds of third order singularly perturbed boundary value problem.An example is given to demonstrate the applications.

关键词： nonlinear differential equation singular perturbation third order boundary value problem

作者: Guocan Wang

作者单位: Department of Mathematics,Dalian Jiaotong University,Dalian,Liaoning 116028,P.R.China

会议类型: 国际会议

会议名称: 2008年国际电子商务、工程及科学领域的分布式计算和应用学术研讨会(2008 International Symposium on Distributed Computing and Applications for Business Engineering and Science)

会议地点: 大连

会议语种:英文

页码: 145-149

在线出版日期: 2008-07-27（万方平台首次上网日期，不代表论文的发表时间）