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带转移条件的Strum-Liouville问题特征函数的振动性 被引量：3

Oscillatory Properties of Eigenfunctions of Sturm-Liouville Problems with Transmission Conditions
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摘要 研究了一类带转移条件的Sturm-Liouville问题在区间(a,c)∪(c,b)上特征函数的振动性,构建了一个与该问题相关的新的Hilbert空间,证明了具有分离边界条件的这类问题的第n个特征值λ_n(n=1,2,…)所对应的特征函数在区间(a,c)∪(c,b)上有n-1个或n个零点,除此之外,还有一个特征值λ_0所对应的特征函数在区间(a,c)∪(c,b)上没有零点. Oscillatory properties of eigenfunctions of Sturm-Liouville problems with transmission conditions are investigated in a open interval（a,c）∪（c,b）.A new Hilbert space is defined.We show that any eigenfunction forλ_n（n=1,2,…） has exactly n-1 or n zeros in the interval（a,c）∪（c,b） except that one eigenvalueλ_0 has no any zero.
作者 王桂霞 孙炯
机构地区 内蒙古师范大学数学科学学院 内蒙古大学数学科学学院
出处 《应用数学学报》 CSCD 北大核心 2010年第3期395-411,共17页 Acta Mathematicae Applicatae Sinica
基金 国家自然基金(10961019 10861008) 内蒙古自然基金(2009MS0114 20080404MS0102)资助项目
关键词 转移条件 特征值 特征函数 振动性 transmission conditions eigenvalues eigenfunctions oscillatory properties
分类号 O175.3 [理学—基础数学]
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  • 1O.Sh.Mukhtarov Department of Mathematics, Science and Arts Faculty, Gaziosmanpasa University, Tokat, TurkeyMustafa Kandemir Department of Mathematics, Faculty of A mas y a Education, Ondokuz Mayis University, Amasya, Turkey.ASYMPTOTIC BEHAVIOUR OF EIGENVALUES FOR THE DISCONTINUOUS BOUNDARY-VALUE PROBLEM WITH FUNCTIONAL-TRANSMISSION CONDITIONS[J].Acta Mathematica Scientia,2002,22(3):335-345. 被引量：11
  • 2Z.Akdog■an,M.Demirci,O.Sh.Mukhtarov.STURM-LIOUVILLE PROBLEMS WITH EIGENDEPENDENT BOUNDARY AND TRANSMISSIONS CONDITIONS[J].Acta Mathematica Scientia,2005,25(4):731-740. 被引量：4
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共引文献15

同被引文献17

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应用数学学报
2010年 第3期

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