Open AccessOn half inverse problem for differential pencils with the spectral parameter in boundary conditions
Author(s) -
Sergey Buterin
Publication year - 2011
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.42.2011.912
Subject(s) - mathematics , inverse problem , boundary value problem , uniqueness , inverse , interval (graph theory) , constructive , pencil (optics) , mathematical analysis , a priori and a posteriori , combinatorics , geometry , process (computing) , mechanical engineering , philosophy , epistemology , computer science , engineering , operating system
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