边界条件中含谱参数的Sturm-Liouville算子特征值的渐进式  

Asymptotic behavior for eigenvalues of Sturm-Liouville operators with boundary conditions containing spectral parameter

作　　者：马美绒[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《宝鸡文理学院学报（自然科学版）》2012年第4期16-20,共5页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771165)

摘　　要：目的研究边界条件中含谱参数的S-L(Sturm-Liouville)算子的特征值。方法利用微分方程的基本解的高阶展开式及其系数特征,采用剩余估计法。结果得到边界条件中含谱参数的S-L算子的特征值渐进式。结论改善了此类S-L问题的特征值的渐进性。Aim To study the asymptotic behavior for eigenvalues of Sturm-Liouville operators with boundary conditions containing spectral parameter. Method The residual estimation method is adopted which is based on the high order expansion and coefficient feature of basic solution of differen- tial equation. Result The asymptotic expressions for eigenvalues of the Sturm-Liouville operators areobtained. Conclusion The asymptotic behavior for this S-L problem has been improved.

关 键 词：STURM-LIOUVILLE算子 特征值 基本解 

分 类 号：O175.3[理学—数学]