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Asymptotic behaviour of solutions of the difference Schrödinger equation |
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| Authors: | Vladimir Burd |
| Institution: | Department of Mathematics , Yaroslavl State University , Yaroslavl, Russia |
| Abstract: | We use the method of averaging and the discrete analogue of Levinson's theorem to construct the asymptotics for solutions of the difference Schrödinger equation. Moreover, we present the general form for the averaging change of variable. |
| Keywords: | Schrödinger difference equation method of averaging asymptotic behaviour Levinson's theorem oscillatory decreasing coefficients |