满足特征值下标定理的实例及其应用
THE ANALYSIS OF THE EXAMPLES WHICH SATISFY THE SUBSCRIPT THEOREM OF EIGENVALUE AND THEIR APPLICATION
摘要
给出了满足耦合边界条件下特征值下标定理的一些实例及其应用.
The paper provides some examples of subscript theorem of eigenvalue which meet the conditions of coupling boundary,as well as their application.
出处
《河套学院论坛》
2011年第2期17-23,29,共8页
HETAO COLLEGE FORUM
参考文献5
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1张晓军,杨树生.耦合边界条件下特征值的下标问题[J].河套学院论坛,2010(4):1-12. 被引量:1
-
2杨树生,张晓军.自伴边界条件的分类问题[J].内蒙古农业大学学报(自然科学版),2009,30(4):273-276. 被引量:4
-
3A.Zettl.Sturm-Liouville Theory[].MathSurveys&Monography.2005
-
4FULTON C.On generating theorems and conjectures in spectral theory with computer assistance[].Lecture Notes in Pure&ApplMath.1997
-
5Q.Kong,H.Wu,A.Zettl.Geometric aspects of Sturm-Liouville problems,I.Structures on spaces of boundary conditions〔J〕[].ProcRoyal SocEdinburgh.2000
二级参考文献16
-
1Q.Kong,H.Wu&A.Zettl:Geometric aspects of Sturm-Liouville problems,I.Structures on spaces of boundary conditions[J].Proc.Royal Soc.Ediinburgh.2000,130A:561-589.
-
2Q.Kong,H.Wu,A.Zettl.Geometric aspects of Sturm-Liouville problems,I.Structures on spaces of boundary conditions〔J〕[].ProcRoyal SocEdinburgh.2000
-
3W.Peng,M.Racovitan,H.Wu.Geometric aspects of Sturm-Liouville problems,V.Natural loops of boundary conditions for monotonicity of eigenvalues and their applications[].Spectral MathAppl.2006
-
4Zhong Wang,Hongyou Wu.The index problem for eigenvalues for coupled boundary conditions and Fulton’s conjecture[J].Monatshefte für Mathematik.2009(2)
-
5P.Binding,H.Volkmer.Oscillation theory for Sturm-Liouville problems with indefinite coefficients[].ProcRoyal SocEdinburgh A.2001
-
6X.Cao,Q.Kong,H.Wu,A.Zettl.Geometric aspects of Sturm-Liouville problems, Ⅲ.Level surfaces of the n-ht eigenvalue[].CompApplMath.2006
-
7W.Everitt,,M.Mōller,A.Zettl.Discontinuous dependence of the n-htSturm-Liouville eigenvalue[]."General Inequalities‘‘.1997
-
8M.Eastham,Q.Kong,H.Wu,A.Zettl.Inequalities among eigenvalues of Sturm-Liouville problems[].Inequalities&Appl.1999
-
9X. Cao,Q. Kong,H. Wu,A. Zettl.Sturm–Liouville problems whose leading coefficient function changes sign[].Canadian Journal of Mathematics.2003
-
10A. Zettl.Sturm-Liouville Theory[].Mathematical Surveys and Mono-graphs.2005
共引文献4
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1张晓军,杨树生.耦合边界条件下特征值的下标问题[J].内蒙古师范大学学报(自然科学汉文版),2012,41(2):152-158.
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2杨树生,张晓军.耦合边界条件下Sturm-Liouville问题的渐近式[J].内蒙古农业大学学报(自然科学版),2015,36(4):139-146.
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3杨树生.Fulton’s猜想的另一种证法[J].河套学院论坛,2008,0(2):9-13.
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4张晓军,杨树生.耦合边界条件下特征值的下标问题[J].河套学院论坛,2010(4):1-12. 被引量:1
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1张晓军,杨树生.满足特征值下标定理的实例及其应用[J].内蒙古农业大学学报(自然科学版),2011,32(4):329-335. 被引量:2
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2张晓军,杨树生.耦合边界条件下特征值的下标问题[J].河套学院论坛,2010(4):1-12. 被引量:1
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3张晓军,杨树生.耦合边界条件下特征值的下标问题[J].内蒙古师范大学学报(自然科学汉文版),2012,41(2):152-158.
-
4杨树生.Fulton’s猜想的另一种证法[J].河套学院论坛,2008,0(2):9-13.
-
5杨树生.Fulton’s猜想的另一种证法[J].肇庆学院学报,2008,29(2):6-8.
-
6张晓军,樊婕,庞晶,白慧.Sturm-Liouville问题的特征值不等式[J].河套学院论坛,2012(4):79-86.
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7杨树生,张晓军.首项系数函数为正时Sturm-Liouville问题特征值间不等式的另一种证法[J].内蒙古师范大学学报(自然科学汉文版),2009,38(3):249-253. 被引量:2
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8张晓军,樊婕,庞晶,白慧.Sturm-Liouville问题的特征值不等式[J].内蒙古工业大学学报(自然科学版),2012,31(2):8-13.
-
9杨树生,张晓军.首项系数变号的Sturm-Liouville问题的特征值不等式[J].内蒙古民族大学学报(自然科学版),2009,24(4):361-365. 被引量:2
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10杨树生,张晓军.首项系数变号的Sturm-Liouville问题的特征值不等式[J].河套学院论坛,2009(4):17-27.