Abstract and Applied Analysis

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

Changbo He, Xueqin Lv, and Jing Niu

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 541935, 13 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511866

Digital Object Identifier
doi:10.1155/2013/541935

Mathematical Reviews number (MathSciNet)
MR3049367

Zentralblatt MATH identifier
1276.34062

Citation

He, Changbo; Lv, Xueqin; Niu, Jing. A New Method Based on the RKHSM for Solving Systems of Nonlinear IDDEs with Proportional Delays. Abstr. Appl. Anal. 2013 (2013), Article ID 541935, 13 pages. doi:10.1155/2013/541935. https://projecteuclid.org/euclid.aaa/1393511866


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