Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 573-580.

• Articles • Previous Articles     Next Articles

The Discreteness of Spectrum of a Class of Differential Operators with Coefficients of Power-exponential Product Functions

 ZHOU Li-Guang1,2, WANG Wan-Yi1   

  1. 1.School of Mathematical Sciences, Inner Mongolia University,  |Hohhot 010021;
    2.College of Sciences of Inner Mongolia University of Technology, Hohhot 010051
  • Received:2012-08-07 Revised:2013-10-21 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    国家自然科学基金(11361039)资助

Abstract:

The discrete spectrum of a class of differential operators with coefficients of power-exponential product functions is
 discussed. Some sufficient conditions for considered differential operators are obtained to ensure that the spectrum is discrete with direct sum decomposition method of operators and comparison method of the corresponding quadratic forms.

Key words: Differential operators, Discrete spectrum, Direct sum decomposition

CLC Number: 

  • 34L05
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