Inverse spectral problem for the differential equation of the second order with singularity

Amirov R., Gulyaz S.

8th International Colloquium on Differential Equations, Plovdiv, Bulgaria, 18 - 23 August 1997, pp.17-24 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • City: Plovdiv
  • Country: Bulgaria
  • Page Numbers: pp.17-24


In this article, for given values of {lambda(n)} and {mu(n)} constructing a differential operator, which has a singularity, has exploined. In order to acomplish this, lambda(n) and mu(n) have to have some certain asymptotic. This kind of asymptotic formulae depend on the regularity order of the function q(x). This connection can be seen in the solution of the inverse problem which depend on the series of (lambda(n)) and {mu(n)}.