On half inverse problem for differential pencils with the spectral parameter in boundary conditions

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PDF ON HALF INVERSE PROBLEM FOR DIFFERENTIAL PENCILS WITH THE SPECTRAL PARAMETER IN BOUNDARY CONDITIONS ON HALF INVERSE PROBLEM FOR DIFFERENTIAL PENCILS WITH THE SPECTRAL PARAMETER IN BOUNDARY CONDITIONS
Published: Aug 24, 2011
DOI: https://doi.org/10.5556/j.tkjm.42.2011.912
Keywords:
differential pencils half inverse problems inverse spectral problems Weyl function

Main Article Content

Sergey Buterin
epartment of Mathematics and Mechanics, Saratov State University

Abstract

A second-order differential pencil on a finite interval with spectral parameter dependent boundary conditions is considered. The inverse problem is studied of recovering the coefficients of the boundary value problem from its spectrum, provided that on one half of the interval they are known a priori. The uniqueness theorem for this inverse problem is proved and a constructive procedure for finding its solution is obtained.

Article Details

How to Cite
Buterin, S. (2011). On half inverse problem for differential pencils with the spectral parameter in boundary conditions. Tamkang Journal of Mathematics, 42(3), 355–364. https://doi.org/10.5556/j.tkjm.42.2011.912
Issue
Vol. 42 No. 3 (2011)
Section
Special Issue
Author Biography

Sergey Buterin, epartment of Mathematics and Mechanics, Saratov State University

Department of Mathematics, Associate Professor

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