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

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

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...

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Main Authors: Fang-zhen Bo, Ji-jun Ao
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/175489
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spelling doaj-c9da717ad2a143ccb082d511398f93552020-11-24T22:38:00ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/175489175489The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission ConditionsFang-zhen Bo0Ji-jun Ao1Normal College, Hohhot Vocational College, Hohhot 010051, ChinaCollege of Sciences, Inner Mongolia University of Technology, Hohhot 010051, ChinaA 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.http://dx.doi.org/10.1155/2014/175489
collection DOAJ
language English
format Article
sources DOAJ
author Fang-zhen Bo
Ji-jun Ao
spellingShingle Fang-zhen Bo
Ji-jun Ao
The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions
Abstract and Applied Analysis
author_facet Fang-zhen Bo
Ji-jun Ao
author_sort Fang-zhen Bo
title The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions
title_short The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions
title_full The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions
title_fullStr The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions
title_full_unstemmed The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions
title_sort finite spectrum of fourth-order boundary value problems with transmission conditions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/175489
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AT jijunao thefinitespectrumoffourthorderboundaryvalueproblemswithtransmissionconditions
AT fangzhenbo finitespectrumoffourthorderboundaryvalueproblemswithtransmissionconditions
AT jijunao finitespectrumoffourthorderboundaryvalueproblemswithtransmissionconditions
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