Baruah, Pallav Kumar; Vamsi, Dasu Krishna Kiran Oscillation theory for a pair of second order dynamic equations with a singular interface. (English) Zbl 1165.39002 Electron. J. Differ. Equ. 2008, Paper No. 43, 7 p. (2008). Summary: 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. Cited in 1 Document MSC: 39A11 Stability of difference equations (MSC2000) 39A12 Discrete version of topics in analysis 34L05 General spectral theory of ordinary differential operators Keywords:eigenvalues; eigenfunctions; dynamic equations; angle function; zeros of a function; time scale; interface conditions PDFBibTeX XMLCite \textit{P. K. Baruah} and \textit{D. K. K. Vamsi}, Electron. J. Differ. Equ. 2008, Paper No. 43, 7 p. (2008; Zbl 1165.39002) Full Text: EuDML EMIS