Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (6): 1643-1656.

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Non-Real Eigenvalues of a Class of Indefinite Sturm-Liouville Operators with Discontinuity at Interior Points

Yingchun Zhao1,*(),Jiong Sun2(),Siqin Yao2(), Burenmandula1()   

  1. 1 College of Mathematics and Computer Sciences, Chifeng University, Inner Mongolia Chifeng 024000
    2 School of Mathematics Sciences, Inner Mongolia University, Hohhot 010021
  • Received:2020-11-09 Online:2021-12-26 Published:2021-12-02
  • Contact: Yingchun Zhao;;;
  • Supported by:
    the NSFC(11561050);the NSFC(11702038);the NSFC(11801286);the NSF of Inner Mongolia Autonomous Region of China(2019MS01024)


In this paper, we study indefinite Sturm-Liouville operators with discontinuity at interior point. The analyticity characteristics of the eigencurves is discussed and the sufficient conditions for the existence and exact number and evaluations on the upper bounds for non-real eigenvalues are obtained. Then two examples are given.

Key words: Non-real eigenvalues, Transmission conditions, Eigencurves, Indefinite weight function

CLC Number: 

  • O175.1