Electron. J. Diff. Eqns., Vol. 2008(2008), No. 43, pp. 1-7.

Oscillation theory for a pair of second order dynamic equations with a singular interface

Pallav Kumar Baruah, Dasu Krishna Kiran Vamsi

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.

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Pallav Kumar Baruah
Department of Mathematics and Computer Science
Sri Sathya Sai University, Prasanthinilayam, India
email: baruahpk@sssu.edu.in
Dasu Krishna Kiran Vamsi
Department of Mathematics and Computer Science
Sri Sathya Sai University, Prasanthinilayam, India
email: dkkvamsi@gmail.com

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