Singular Perturbation of Volterra type Integrodifferential Equation for Linear Boundary Value Problems

摘要：

Singular perturbation of Volterra type integrodifferential equation for linear boundary value problems by means of differential inequality theories was studied. Based on the results of second order linear boundary value problems, the upper and lower solutions method of Volterra type integro-differential equation for nonlinear boundary value problems was established. Specific upper and lower solutions were constructed existence and uniformly valid estimate of solutions for linear boundary value problems of a Volterra type integro-differential equation under suitable condition were obtained. The results showed that seems new to apply these kinds of Volterra type integro-differential equation for linear boundary value problems.

关键词： nonlinear integro-differential equation singular perturbation linear boundary value problem

作者: Wang guocan Xu kesheng

作者单位: School of mathematics & physics Dalian Jiaotong University Dlian Liaoning P,R,China Software of institute Dalian Jiaotong University Dlian Liaoning P,R,China

会议类型: 国际会议

会议名称: 第九届分布式计算及其应用国际学术研讨会

会议地点: 香港

会议语种:英文

页码: 643-646

在线出版日期: 2010-08-12（万方平台首次上网日期，不代表论文的发表时间）