PM  >> Vol. 7 No. 3 (May 2017)

    Estimates on the Non-Real Eigenvalues of Fourth Order Indefinite Differential Operators

  • 全文下载: PDF(328KB) HTML   XML   PP.141-148   DOI: 10.12677/PM.2017.73017  
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胡帆,孙炯,李昆,郝晓玲:内蒙古大学数学科学学院,内蒙古 呼和浩特

四阶微分算子非实特征值不定权函数Fourth Order Differential Operators Non-Real Eigenvalue Indefinite Weight Function



The present paper gives an estimate on the non-real eigenvalues for a class of fourth order differential operators. Using operator theory and classical analysis, we study the eigenvalue problem for indefinite differential operators produced by the signs of weight function, and discuss the cases of many turning points and a turning point for the weight function respectively, then we get the estimate on the real and imaginary parts of the non-real eigenvalues.

胡帆, 孙炯, 李昆, 郝晓玲. 四阶不定微分算子非实特征值的估计[J]. 理论数学, 2017, 7(3): 141-148.


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