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自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v29.i2-3.220
pages 169-178

Games With Polynomials

Nikolay N. Petrov
Udmurt State University, Izhevsk
E. A. Protasova
Udmurdsk State University

ABSTRACT

The following class of antagonistic differential games is considered. A polynomial f(x) = xm + a1xm−1 + ... + am, m ≥ 1, is given. Two players replace in turn one of the coefficients ai by an arbitrary real number (each coefficient is used one time only); moreover one of the players aims to make the equation f such that it has the maximum possible number of pairwise distinct real roots. The aim of the second player is opposite.


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