Properties of eigenfunctions for problems with the transmission conditions

Wang Guixia; Sun Jiong

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Properties of eigenfunctions for problems with the transmission conditions

Wang Guixia 1 * #,Sun Jiong 2

1.Department of Mathematics, Inner Mongolia University,Department of Mathematics, Inner Mongolia Normal University

2.Department of Mathematics, Inner Mongolia University

*Correspondence author

#Submitted by

Subject:

Funding: 博士点基金项目（No.20040126008）

Opened online:29 December 2007

Accepted by: none

Citation: Wang Guixia,Sun Jiong.Properties of eigenfunctions for problems with the transmission conditions[OL]. [29 December 2007] http://en.paper.edu.cn/en_releasepaper/content/17566

Some fundamental properties of eigenfunctions for regular Sturm-Liouville problems are extended to special kind boundary value problems, which have discontinuities in the solution or its quasi-derivative at an interior point. Oscillatory properties of eigenfunctions are investigated, primarily. Examples with numericals illustrated corresponding conclusions.

Keywords:transmission conditions; eigenvalues;eigenfunctions; oscillatory properties.

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