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Oscillation theory for a pair of second order dynamic equations with a singular interface. (English) Zbl 1165.39002

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.

MSC:

39A11 Stability of difference equations (MSC2000)
39A12 Discrete version of topics in analysis
34L05 General spectral theory of ordinary differential operators
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