Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (6): 1171-1178.

• Articles • Previous Articles     Next Articles

The Uniqueness for Inverse Sturm-Liouville Problems with Aftereffect

Wang-Yu-Hua, WEI Guang-Sheng   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062
  • Received:2011-03-30 Revised:2012-03-09 Online:2012-12-25 Published:2012-12-25
  • Supported by:

    国家自然科学基金(11171198)和中央高校专项基金(GK201001002)资助

Abstract:

The inverse eigenvalue problem of an integro-differential equation with self-adjoint boundary conditions is considered, which may be also regarded as  a perturbation of the classical potential equation. Some uniqueness results are obtained which imply that the kernel function M can completely be determined even if only partial information is given on M together with partial information on one full spectrum, when the potention function is known.

Key words: Eigenvalue, Inverse problem, Sturm-Liouville problem

CLC Number: 

  • 34A55
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