标题:Simplicity and Spectrum of Singular Hamiltonian Systems of Arbitrary Order
作者:Sun, Huaqing
作者机构:[Sun, HQ]Shandong Univ, Dept Math, Weihai 264209, Shandong, Peoples R China.
通讯作者:Sun, HQ
通讯作者地址:[Sun, HQ]Shandong Univ, Dept Math, Weihai 264209, Shandong, Peoples R China.
来源:ABSTRACT AND APPLIED ANALYSIS
出版年:2013
DOI:10.1155/2013/202851
摘要:The paper is concerned with singular Hamiltonian systems of arbitrary order with arbitrary equal defect indices. It is proved that the minimal operator generated by the Hamiltonian system is simple. As a consequence, a sufficient condition is obtained for the continuous spectrum of every self-adjoint extension of the minimal operator to be empty in some interval and for the spectrum to be nowhere dense in this interval in terms of the numbers of linearly independent square integrable solutions.
收录类别:SCOPUS;SCIE
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84897747032&doi=10.1155%2f2013%2f202851&partnerID=40&md5=cb7300400accc51f02b24be86483a6d2
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