About a second-order equation with variable coefficients.
Bucur, Amelia (2006)
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Bucur, Amelia (2006)
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Asymptotic properties of solutions of difference equation of the form are studied. Conditions under which every (every bounded) solution of the equation is asymptotically equivalent to some solution of the above equation are obtained. Moreover, the conditions under which every polynomial sequence of degree less than is asymptotically equivalent to some solution of the equation and every solution is asymptotically polynomial are obtained. The consequences of the existence of asymptotically...