## Spectral theory of left definite difference operators.(English)Zbl 1127.39046

This paper is concerned with the spectral theory for the second-order left definite difference boundary value problems. Existence of eigenvalues of boundary value problems is proved, the numbers of their eigenvalues are calculated and fundamental spectral results are obtained.

### MSC:

 39A70 Difference operators 39A12 Discrete version of topics in analysis 34L05 General spectral theory of ordinary differential operators
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### References:

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