, Volume 187, Issue 4, pp 494-510

Method of locally linear approximation of nonlinear difference operators by weakly regular operators

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We establish conditions for the existence of bounded solutions of nonlinear difference equations by using a local linear approximation of these equations.

Translated from Neliniini Kolyvannya, Vol. 15, No. 1, pp. 112–126, January–March, 2012.