A continuous method for nonlocal functional differential equations with delayed or advanced arguments

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Li, X. Y.¹  Wu, B. Y.² 

[1] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

关键词: Reproducing kernel method;    Nonlocal problems;    Functional differential equations;    Error estimation;   

DOI  :  10.1016/j.jmaa.2013.07.039

来源: Elsevier

【 摘 要 】

In the previous works, the authors presented the reproducing kernel method (RKM) for solving various differential equations. However, to the best of our knowledge, there exist no results for functional differential equations. The aim of this paper is to extend the application of reproducing kernel theory to nonlocal functional differential equations with delayed or advanced arguments, and give the error estimation for the present method. Some numerical examples are provided to show the validity of the present method. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free