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On the number of eigenvalues for parameter-dependent diffusion problem on time scales. (English) Zbl 1472.34161

Summary: In this study, we consider parameter-dependent diffusion eigenvalue problem on time scales. An upper bound on the number of eigenvalues for this problem on a finite time scale is given.

MSC:

34N05 Dynamic equations on time scales or measure chains
34L15 Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators
34B09 Boundary eigenvalue problems for ordinary differential equations
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