Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 43, pp. 1-7.

Title: Oscillation theory for a pair of second order dynamic 
       equations with a singular interface
 
Authors: Pallav Kumar Baruah      (Sri Sathya Sai Univ., India)
         Dasu Krishna Kiran Vamsi (Sri Sathya Sai Univ., India)

Abstract: 
In this paper we consider a pair of second order dynamic equations
defined on the time scale $I = [a,c]\cup [\sigma(c),b]$. We impose
matching interface conditions at the singular interface $c$. We
prove a theorem regarding the relationship between the number of
eigenvalues and zeros  of the corresponding eigenfunctions.
 
Submitted July 18, 2007. Published March 20, 2008.
Math Subject Classifications: 45C05, 34C10
Key Words: Eigenvalues; eigenfunctions; dynamic equations;
           angle function; zeros of a function.