Abstract
Inverse nodal problem for SturmñLiouville equation with discontinuity coeffecient is studied. A uniqueness theorem and an algorithm for recovering the coeffecient of the problem from a known sequence related to the nodal points are given
Highlights
A uniqueness theorem and an algorithm for recovering the coe¢ cients of the problem from a known sequence related to the nodal points are given
Inverse nodal problems consist in recovering the coe¢ cients of operators from the zeros of the eigenfunctions
McLaughlin (1988) seems to have been the ...rst to consider this kind of inverse problem for the regular Sturm–Liouville equations with Dirichlet boundary conditions[17]
Summary
Inverse nodal problems consist in recovering the coe¢ cients of operators from the zeros (nodes) of the eigenfunctions. McLaughlin (1988) seems to have been the ...rst to consider this kind of inverse problem for the regular Sturm–Liouville equations with Dirichlet boundary conditions[17]. She showed that the potential of the problem can be determined by a given dense subset of nodal points. Spectral problems for di¤erential equations with discontinuous coe¢ cients were investigated in several works (see [1], [2], [3], [7], [9], [11], [15] and [16]). These works contain inverse problems according to the various spectral data
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callMore From: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
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.
