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相关摄动下的Sturm-Liouville微分算子的特征行列式(英文) 被引量:1

The Determinants of Perturbation Connected with Sturm-liouville Operators
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摘要 本文研究在自伴混合边条件下极限圆型的Sturm-Liouville微分算子加相关摄动后的特征行列式的性质,根据其性质,给出了这些类型非自伴微分算子特征的完备性. In this paper,the determinants of perturbations connected with SturmLiouville operator with mixed boundary condition in the Weyl′ limitcircle case are investigated.The completeness of the system of eigenvectors and associated vectors of this operator is given.
出处 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第4期365-372,共8页 Journal of Inner Mongolia University:Natural Science Edition
基金 广东省自然科学基金 (0 2 2 0 0 1 ) 广东省"千,百,十"基金 (Q0 2 0 5 2 ) 广东省高校自然科学基金(Z0 2 0 75 )资助项目~~
关键词 分离型条件 耗散算子 特征向量 特征行列式 separated condition dissipative operator eigenvector determinant
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