Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (5): 984-992.

• Articles • Previous Articles    

The Essential Spectrum for a Class of Infinite Dimensional Hamiltonian Operator and Its Applications

 Alatancang, HAI Guo-Jun   

  1. School of Mathematical Sciences, Inner Mongolia University, Hohhot |010021
  • Received:2011-10-13 Revised:2012-12-26 Online:2013-10-25 Published:2013-10-25
  • Supported by:

    国家自然科学基金(10962004)、数学天元基金(11126307)、内蒙古自然科学基金(2011MS0104)、内蒙古自治区高等院校科学技术研究重点项目(ZJZZ11011)、内蒙古大学高层次人才引进项目(Z20100116)和内蒙古大学``211工程"创新人才培养项目资助.

Abstract:

In this paper, the essential spectrum for a class of infinite dimensional Hamiltonian operator is studied. A description of the essential spectra for operator matrices is given by using the essential spectra for entries of this operator matrices.
Based on this results, spectral properties of infinite dimensional Hamiltonian operators associated with plate bending equations and beam bending equations are obtained, respectively.

Key words: Plate bending equations, Beam bending equations, Infinite dimensional Hamiltonian operator, Essential spectrum, Discrete spectrum

CLC Number: 

  • 47A10
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