Inverse nodal problems for Sturm-Liouville equation with eigenparameter-dependent boundary and jump conditions


Ozkan A. S. , KESKİN B.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.23, ss.1306-1312, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 23 Konu: 8
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/17415977.2014.991730
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Sayfa Sayıları: ss.1306-1312

Özet

In this work, the Sturm-Liouville problem with boundary and jump conditions dependent on the spectral parameter linearly is studied. We show that all coefficients of the problem can be uniquely determined by nodal points. Moreover, we give an algorithm for reconstruction of the potential function and the coefficient in the jump conditions.