A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function

In this article, we give a priori bounds on the possible non-real eigenvalue of regular fourth-order boundary value problem with indefinite weight function and obtain a sufficient conditions for such problem to admit non-real eigenvalue.

Bibliographic Details
Main Authors: Xiaoling Han, Ting Gao
Format: Article
Language:English
Published: Texas State University 2016-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/82/abstr.html
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spelling doaj-22b66391573d4756b22692469763edc72020-11-24T23:32:47ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-03-01201682,19A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight functionXiaoling Han0Ting Gao1 Northwest Normal Univ., Lanzhou, Gansu, China Northwest Normal Univ., Lanzhou, Gansu, China In this article, we give a priori bounds on the possible non-real eigenvalue of regular fourth-order boundary value problem with indefinite weight function and obtain a sufficient conditions for such problem to admit non-real eigenvalue.http://ejde.math.txstate.edu/Volumes/2016/82/abstr.htmla priori boundnon-real eigenvalueindefinite weight function
collection DOAJ
language English
format Article
sources DOAJ
author Xiaoling Han
Ting Gao
spellingShingle Xiaoling Han
Ting Gao
A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function
Electronic Journal of Differential Equations
a priori bound
non-real eigenvalue
indefinite weight function
author_facet Xiaoling Han
Ting Gao
author_sort Xiaoling Han
title A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function
title_short A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function
title_full A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function
title_fullStr A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function
title_full_unstemmed A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function
title_sort priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2016-03-01
description In this article, we give a priori bounds on the possible non-real eigenvalue of regular fourth-order boundary value problem with indefinite weight function and obtain a sufficient conditions for such problem to admit non-real eigenvalue.
topic a priori bound
non-real eigenvalue
indefinite weight function
url http://ejde.math.txstate.edu/Volumes/2016/82/abstr.html
work_keys_str_mv AT xiaolinghan aprioriboundsandexistenceofnonrealeigenvaluesoffourthorderboundaryvalueproblemwithindefiniteweightfunction
AT tinggao aprioriboundsandexistenceofnonrealeigenvaluesoffourthorderboundaryvalueproblemwithindefiniteweightfunction
AT xiaolinghan prioriboundsandexistenceofnonrealeigenvaluesoffourthorderboundaryvalueproblemwithindefiniteweightfunction
AT tinggao prioriboundsandexistenceofnonrealeigenvaluesoffourthorderboundaryvalueproblemwithindefiniteweightfunction
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