2024 : 11 : 14

Mohammad Shahriari

Academic rank: Associate Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
Inverse problem for Sturm{Liouville operators with a transmission and parameter dependent boundary conditions
Type
JournalPaper
Keywords
Inverse Sturm–Liouville equation, Non self–adjoint operator, Jump condition, Hilbert space.
Year
2017
Journal Caspian Journal of Mathematical Sciences (CJMS)
DOI
Researchers Mohammad Shahriari ،

Abstract

In this manuscript, we consider the inverse problem for non self-adjoint Sturm–Liouville operator D2+ q with eigen- parameter dependent boundary and discontinuity conditions inside a finite closed interval. We prove by defining a new Hilbert space and using spectral data of a kind, the potential function can be uniquely determined by a set of value of eigenfunctions at an interior point and part of two sets of eigenvalues.