Stability conditions for Volterra equations with discrete time are obtained using the direct Lyapunov method, without the usual assumption of the summability of the series of the coefficients. Using such conditions, the stability of some numerical methods for second kind Volterra integral equations is analyzed.
Stability of discrete Volterra equations of Hammerstein type / Crisci, M. R.; Kolmanovskii, V.; Russo, Elvira; Vecchio, A.. - In: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. - ISSN 1023-6198. - STAMPA. - 2:(2000), pp. 127-145.
Stability of discrete Volterra equations of Hammerstein type
RUSSO, ELVIRA;
2000
Abstract
Stability conditions for Volterra equations with discrete time are obtained using the direct Lyapunov method, without the usual assumption of the summability of the series of the coefficients. Using such conditions, the stability of some numerical methods for second kind Volterra integral equations is analyzed.File in questo prodotto:
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