Abstract and Applied Analysis

A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems

Jing Niu, Yingzhen Lin, and Minggen Cui

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Abstract

A new analytical method for the computation of reproducing kernel is proposed and tested on some examples. The expression of reproducing kernel on infinite interval is obtained concisely in polynomial form for the first time. Furthermore, as a particular effective application of this method, we give an explicit representation formula for calculation of reproducing kernel in reproducing kernel space with boundary value conditions.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 959346, 7 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512044

Digital Object Identifier
doi:10.1155/2013/959346

Mathematical Reviews number (MathSciNet)
MR3108417

Zentralblatt MATH identifier
07095538

Citation

Niu, Jing; Lin, Yingzhen; Cui, Minggen. A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems. Abstr. Appl. Anal. 2013 (2013), Article ID 959346, 7 pages. doi:10.1155/2013/959346. https://projecteuclid.org/euclid.aaa/1393512044


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