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直和空间中带有内积倍数的两区间偶数阶微分算子
索建青1, 王万义2
1.内蒙古大学 数学科学学院, 呼和浩特 010021;2.内蒙古农业大学 理学院, 呼和浩特 010019
摘要:
研究两区间奇异微分方程的自伴算子实现,证明了在直和空间中通过运用内积倍数可以扩大自伴算子实现的范围.
关键词:  自伴  交接条件  转移条件
DOI:10.3969/J.ISSN.100-5137.2017.03.007
分类号:
基金项目:This work is supported by Natura Science Foundation of China (11361039);Specialized Research Fund for the Doctoral Program of Higher Education (20131501120006)
Two-interval even order differential operators in direct sum spaces with inner product multiples
Suo Jianqing1, Wang Wanyi2
1.School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;2.College of Science, Inner Mongolia Agricultural University, Hohhot 010019, China
Abstract:
We study two-interval singular differential equations and show that their self-adjoint operator realizations in direct sum Hilbert spaces can be enlarged by using inner product multiples.
Key words:  self-adjoint  interface conditions  transmission conditions