Characterization of self-adjoint domains for differential operators with interior singular points

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• 作者：Qiuxia Yang^a ; ^{dlzxyanglixia@163.com" class="auth_mail" title="E-mail the corresponding author} ; Wanyi Wang^b
• 关键词：Differential operators ; Interior singular points ; Deficiency index ; Self-adjoint domains ; Real-parameter solutions
• 刊名：Arab Journal of Mathematical Sciences
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：22
• 期：1
• 页码：115-131
• 全文大小：236 K

文摘

We characterize the self-adjoint domains of general even order linear ordinary differential operators which have finite interior singular points in terms of real-parameter solutions of the differential equation. For the purpose we constructed a direct sum space. By the theory of direct sum space and the decomposition of the corresponding maximal domain, we give this complete and analytic characterization in terms of limit-circle solutions. This is for endpoints which are regular or singular and for arbitrary deficiency index.