一类脉冲Strum-Liouville算子的特征值渐近式和迹公式

doi:10.6040/j.issn.1671-9352.0.2018.760

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (10): 49-56.doi: 10.6040/j.issn.1671-9352.0.2018.760

Eigenvalues asymptotic formula and trace formula for a class of impulsive Sturm-Liouville operators

JI Jie

School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

Published:2019-10-12

Abstract

Abstract: A class of impulsive Strum-Liouville boundary value problems on a finite interval are discussed, there are discontinuities inside the interval and the discontinuity coefficient on the right side of the equation. The asymptotic formula of the eigenvalues and the trace formula are obtained by using the residue theorem.

Key words: finite interval, impulsive Sturm-Liouville operator, residue theorem, the eigenvalues asymptotic formula, the trace formula

CLC Number:

O175.3

JI Jie. Eigenvalues asymptotic formula and trace formula for a class of impulsive Sturm-Liouville operators[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(10): 49-56.

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