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Asymptotic behaviour of solutions to difference equations involving ratios of elementary symmetric polynomials. (English) Zbl 1250.39007
This paper deals with the applications of elementary symmetric polynomials in the theory of difference equations. It is shown that several recently considered difference equations can be rewritten by using elementary symmetric polynomials. New interesting results on asymptotic behavior of solutions are then obtained for some classes of difference equations by using Newton’s inequalities for elementary symmetric polynomials.
MSC:
39A20Generalized difference equations
39A22Growth, boundedness, comparison of solutions (difference equations)