A New Method Based on the RKHSM for Solving Systems of Nonlinear IDDEs with Proportional Delays-Reference-Cited by-同舟云学术

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A New Method Based on the RKHSM for Solving Systems of Nonlinear IDDEs with Proportional Delays

Published:2013 Issue: Volume:2013 Page:1-13
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

He Changbo¹,Lv Xueqin²,Niu Jing²^ORCID

Affiliation:

1. School of Sports and Sciences, Harbin Normal University, Harbin, Heilongjiang 150025, China

2. School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang 150025, China

Abstract

An efficient computational method is given in order to solve the systems of nonlinear infinite-delay-differential equations (IDDEs) with proportional delays. Representation of the solution and an iterative method are established in the reproducing kernel space. Some examples are displayed to demonstrate the computation efficiency of the method.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/541935.pdf

Reference26 articles.

1. A two-body problem of classical electrodynamics: the one-dimensional case

2. On the local existence of solutions of certain functional-differential equations

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method;Abstract and Applied Analysis;2013

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