Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
On functional equations in games of encounter at a prescribed instant. / Chistiakov, S. V.
в: Journal of Applied Mathematics and Mechanics, Том 46, № 5, 01.01.1982, стр. 704-706.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On functional equations in games of encounter at a prescribed instant
AU - Chistiakov, S. V.
PY - 1982/1/1
Y1 - 1982/1/1
N2 - Functional operators, simpler than in /1-3/, are determined in connection with games of encounter at a prescribed instant. These operators or their analogs can be used to obtain many of the fundamental results in /1-3/, in particular, iteration methods can be constructed, converging to the game's value function. As one more illustration of the capabilities of the method developed in /1-3/, the operators determined below are used to give a new proof of the well-known result /4/ on the identification of the game's value function by means of the so-called main equation.
AB - Functional operators, simpler than in /1-3/, are determined in connection with games of encounter at a prescribed instant. These operators or their analogs can be used to obtain many of the fundamental results in /1-3/, in particular, iteration methods can be constructed, converging to the game's value function. As one more illustration of the capabilities of the method developed in /1-3/, the operators determined below are used to give a new proof of the well-known result /4/ on the identification of the game's value function by means of the so-called main equation.
UR - http://www.scopus.com/inward/record.url?scp=49049133540&partnerID=8YFLogxK
U2 - 10.1016/0021-8928(82)90023-5
DO - 10.1016/0021-8928(82)90023-5
M3 - Article
AN - SCOPUS:49049133540
VL - 46
SP - 704
EP - 706
JO - Journal of Applied Mathematics and Mechanics
JF - Journal of Applied Mathematics and Mechanics
SN - 0021-8928
IS - 5
ER -
ID: 48468794