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Applied Mathematics-A Journal of Chinese Universities  2020, Vol. 35 Issue (2): 193-202    DOI: 10.1007/s11766-020-3806-y
    
Inverse nodal problem for the Sturm-Liouville operator with a weight
ZHANG Ran, Murat Sat, YANG Chuan-fu
1Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology,Nanjing 210094, China.
2Department of Mathematics, Faculty of Art and Sciences, Erzincan University, Erzincan, Turkey.
Inverse nodal problem for the Sturm-Liouville operator with a weight
ZHANG Ran, Murat Sat, YANG Chuan-fu
1Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology,Nanjing 210094, China.
2Department of Mathematics, Faculty of Art and Sciences, Erzincan University, Erzincan, Turkey.
 全文: PDF 
摘要：  In this work, we consider the inverse nodal problem for the Sturm-Liouville problem
with a weight and the jump condition at the middle point. It is shown that the dense nodes of the
eigenfunctions can uniquely determine the potential on the whole interval and some parameters.
关键词： inverse nodal problem;  Sturm-Liouville operator;  discontinuous conditions;  weight function    
Abstract:  In this work, we consider the inverse nodal problem for the Sturm-Liouville problem
with a weight and the jump condition at the middle point. It is shown that the dense nodes of the
eigenfunctions can uniquely determine the potential on the whole interval and some parameters.
Key words: inverse nodal problem    Sturm-Liouville operator    discontinuous conditions    weight function
出版日期: 2020-07-06
CLC:  34A55  
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ZHANG Ran
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引用本文:

ZHANG Ran, Murat Sat, YANG Chuan-fu. Inverse nodal problem for the Sturm-Liouville operator with a weight[J]. Applied Mathematics-A Journal of Chinese Universities, 2020, 35(2): 193-202.

ZHANG Ran, Murat Sat, YANG Chuan-fu. Inverse nodal problem for the Sturm-Liouville operator with a weight. Applied Mathematics-A Journal of Chinese Universities, 2020, 35(2): 193-202.

链接本文:

http://www.zjujournals.com/amjcub/CN/10.1007/s11766-020-3806-y    或    http://www.zjujournals.com/amjcub/CN/Y2020/V35/I2/193

[1] XU Xiao-chuan, YANG Chuan-fu. Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues[J]. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(2): 225-.