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Journal of Automation and Information Sciences

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ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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About One Class of Integral Games of Approach

Volumen 34, Ausgabe 8, 2002, 6 pages
DOI: 10.1615/JAutomatInfScien.v34.i8.20
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ABSTRAKT

We investigate integral games of approach. Their dynamics is described by Volterra integral equations of the second kind with kernels possessing polar singularities. An important class of integral equations whose solutions are expressed through the generalized Mittag-Leffler matrix functions is naturally connected with these games. With the use of asymptotic properties of the scalar generalized Mittag-Leffler functions for model games of approach exact formulas for guaranteed conditions of approach, which are expressed through games parameters, are obtained.

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