JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (2): 57-62.doi: 10.6040/j.issn.1671-9352.0.2019.626

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Asymptotic formula for eigenvalues and eigenfunctions of Sturm-Liouville question

RAN Mao-jun, GAO Cheng-hua*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2020-02-14

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Abstract: According to the classical analysis method, the asymptotic formula of eigenvalues and eigenfunctions of Sturm-Liouville question with boundary conditions dependent on nonlinear eigenparameters are studied. By means of constant variation method of ordinary differential equation and asymptotic estimation of eigenfunction zero, the asymptotic formula of eigenvalues and eigenfunctions of boundary conditions with nonlinear eigenparameters are obtained.

Key words: Sturm-Liouville question, eigenparameter-dependent boundary condition, asymptotic formula

CLC Number: 

  • O175.8
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