Geodesic
Criteria for the boundness of the solutions of the Cauchy problem for a sistem of hyperbolic difference equations
Izvestiya. Mathematics, Tome 5 (1971) no. 3, pp. 711-718 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present article the difference analog of the Cauchy problem for a system of hyperbolic equations of second order is discussed. Conditions for the boundedness (for arbitrary bounded right-hand sides) of the solution of this problem are established for the case where the coefficients are constants or have weak variation at infinity. 
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R. K. Romanovskii; A. M. Biberman. Criteria for the boundness of the solutions of the Cauchy problem for a sistem of hyperbolic difference equations. Izvestiya. Mathematics, Tome 5 (1971) no. 3, pp. 711-718. http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a11/

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