The uniqueness theorem for differential pencils with the jump condition in the finite interval

Document Type : Regular Paper

Authors

1 Department of Mathematics, University of Mazandaran, Babolsar, Iran

2 Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran

Abstract

The purpose of this paper is to investigate the inverse problem for a second order differential equation the socalled
differential pencil on the finite interval
 
􁈾0,1􁈿 when the solutions are not smooth. We establish properties of
the spectral characteristics, derive the Weyl function and prove the uniqueness theorem for this inverse problem.

Keywords

Iranian Journal of Science
Volume 38, Issue 3.1 - Serial Number 3
September and October 2014
Pages 305-309

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