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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1971 Volume 35, Issue 3, Pages 704–713 (Mi im2034)
Necessary and sufficient criteria for the boundedness of the solutions of certain systems of linear difference equations in Banach space

I. I. Marmershtein


Abstract: In the present article exact (necessary and sufficient) spectral criteria are found for the stability of the solutions of certain systems of linear partial difference equations in Banach space.

UDC: 517.9

MSC: Primary 39A10; Secondary 47B45

Received: 19.06.1970


 English version: Mathematics of the USSR-Izvestiya, 1971, 5:3, 719–729

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