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Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.
Values of are determined for which there exist positive solutions of the system of three-point boundary value problems, , , for , and satisfying, , , , . A Guo-Krasnosel’skii fixed point theorem is applied.
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