Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 27, pp. 1-8.

Title: Regularized trace of the Sturm-Liouville operator
       with irregular boundary conditions
   
Author: Alexander Makin (Moscow State Univ., Russia)

Abstract:
 We consider the spectral problem for the
 Sturm-Liouville equation with a complex-valued potential $q(x)$
 and with irregular boundary conditions on the interval $(0,\pi)$.
 We establish a formula for the first regularized trace of the
 this operator.
 
Submitted January 8, 2009. Published February 03, 2009.
Math Subject Classifications: 34L05, 34B24.
Key Words: Sturm-Liouville operator; eigenvalue problem; spectrum.