Self-adjoint second-order difference equations with unbounded coefficients in the double root case

摘要

In this paper we present a method of finding asymptotic formulas of solutions of a second-order difference equation with coefficients λ_n = s(n)(1) x(n)) and q_n = 22s(n)(1) y(n)), where (s(n)) is a real unbounded sequence and (x(n)) and (y(n)) are some perturbations.