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Abstract and Applied Analysis
Volume 2014, Article ID 175489, 7 pages
Research Article

The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions

1Normal College, Hohhot Vocational College, Hohhot 010051, China
2College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China

Received 15 February 2014; Accepted 4 June 2014; Published 24 June 2014

Academic Editor: Paul W. Eloe

Copyright © 2014 Fang-zhen Bo and Ji-jun Ao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A class of fourth-order boundary value problems with transmission conditions are investigated. By constructing we prove that these class of fourth order problems consist of finite number of eigenvalues. Further, we show that the number of eigenvalues depend on the order of the equation, partition of the domain interval, and the boundary conditions (including the transmission conditions) given.