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Inverse indefinite Sturm-Liouville problems with three spectra |
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| Authors: | Shouzhong Fu Zongben Xu |
| Institution: | a School of Science, Xi?an Jiaotong University, Xi?an 710049, PR China b School of Computer Science, ZhaoQing University, GuangDong 526061, PR China c College of Mathematics and Information Science, Shaanxi Normal University, Xi?an 710062, PR China |
| Abstract: | We prove that the potential q(x) of an indefinite Sturm-Liouville problem on the closed interval a,b] with the indefinite weight function w(x) can be determined uniquely by three spectra, which are generated by the indefinite problem defined on a,b] and two right-definite problems defined on a,0] and 0,b], where point 0 lies in (a,b) and is the turning point of the weight function w(x). |
| Keywords: | Eigenvalue Indefinite Sturm-Liouville problem Inverse spectral problem |
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