Stability tests for the solutions of linear operator equations with discrete and continuous lags in the arguments

Z. I. Rekhlitskii


Abstract: Necessary and sufficient criteria are established for the exponential growth (in particular, boundedness) of the solutions of equations (1)–(2). The results obtained generalize the contents of $({}^1)$.

UDC: 517.9

MSC: 47B38, 46E15

Received: 15.04.1968

 English version: Mathematics of the USSR-Izvestiya, 1970, 4:2, 465–477

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