Abstract. In this paper, we are computing asymptotic formulas for a base of solutions of the second-order difference equations in the double root case. Two methods are presented.2000 AMS Subject Classifications. 39A10, 47B25.
Abstract. In this paper we prove a mixed spectrum of Jacobi operators defined by λn = s(n)(1 + x(n)) and qn = −2s(n)(1 + y(n)), where (s(n)) is a real unbounded sequence, (x(n)) and (y(n)) are some perturbations.
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