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Stability of difference volterra equations: Direct liapunov method and numerical procedure

Computers and Mathematics with Applications (1998) 36(10-12) 77-97
DOI: 10.1016/s0898-1221(98)80011-4
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Abstract

A procedure to construct Liapunov functional for discrete Volterra equations is proposed. Using this procedure stability conditions are derived for general Volterra difference equations. Some applications of the proposed procedure for obtaining stability conditions for linear multistep methods for Volterra integro-differential equations are presented. © 1998 Elsevier Science Ltd. All rights reserved.

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Crisci, M. R., Kolmanovskii, V. B., Russo, E., & Vecchio, A. (1998). Stability of difference volterra equations: Direct liapunov method and numerical procedure. Computers and Mathematics with Applications, 36(10–12), 77–97. https://doi.org/10.1016/s0898-1221(98)80011-4

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