Abstract

In this work, the Sturm–Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from nodal points (zeros of eigenfunctions).

Highlights

  • She proved that the potential of the considered problem can be uniquely determined by a given dense subset of the zeros of the eigenfunctions called

  • 1 Introduction We consider the boundary value problem L generated by the convolution-type Sturm– Liouville integro-differential operator x

  • Inverse nodal problems for different types of operators have been extensively well studied in several papers

Read more

Summary

Introduction

She proved that the potential of the considered problem can be uniquely determined by a given dense subset of the zeros of the eigenfunctions called In 1989, Hald and McLaughlin studied more general boundary conditions and gave some numerical schemes for the reconstruction of the potential from a given dense subset of nodal points [2]. Inverse nodal problems for different types of operators have been extensively well studied in several papers (see [4,5,6,7,8,9,10,11,12,13,14] and [15]).

Results
Conclusion
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.