Display Abstract

Title Inverse Problems for Differential Operators of Variable Orders on Graphs

Name Viacheslav Yurko
Country Russia
Email yurkova@info.sgu.ru
Co-Author(s) Yurko V.A.
Submit Time 2014-02-14 08:03:31
Session
Special Session 75: Differential and difference equations on graphs and their applications
Contents
We study inverse spectral problems for ordinary differential equations on compact star-type graphs when differential equations have different orders on diferent edges. As the main spectral characteristics we introduce and study the so-called Weyl-type matrices which are generalizations of the Weyl function (m-function) for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.