Sufficient Conditions for the Existence of Bounded Solutions of Systems of Nonlinear Difference Equations |
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Authors: | I M Grod |
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Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kyiv, Ukraine |
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Abstract: | We obtain sufficient conditions for systems of nonlinear difference equations x(n + 1) = A(x(n))x(n) + f(n), n ∈ ℤ, where A(x) is a matrix function continuous on ℝ
m
, to have solutions in the space of bilateral number sequences.
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Translated from Neliniini Kolyvannya, Vol. 8, No. 2, pp. 165–173, April–June, 2005. |
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Keywords: | |
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