JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (8): 50-54.doi: 10.6040/j.issn.1671-9352.0.2018.334

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Inverse spectral results for AKNS systems with partial information on the potentials

  

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Online:2019-08-20 Published:2019-07-03

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Abstract: We consider the AKNS systems on the interval［0,1］ and prove that two potentials already known on ［a,1］(a∈(0,1/2］)and their difference in Lp are equal if the number of their common eigenvalues is sufficiently large. The result here is to write down explicitly this number in terms of p(and a)showing the role of p.

Key words: AKNS symtem, potential function, inverse problem

CLC Number: 

  • O175.1
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