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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1971 Volume 35, Issue 3, Pages 697–703 (Mi im2033)

Criteria for the boundness of the solutions of the Cauchy problem for a sistem of hyperbolic difference equations

R. K. Romanovskii, A. M. Biberman


Abstract: 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.

UDC: 517.9

MSC: 39A10

Received: 24.09.1970


 English version:
Mathematics of the USSR-Izvestiya, 1971, 5:3, 711–718

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