Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

Russian  English English About Journal | Issues | Editorial Board | Contact Us
 


 Web hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2016-4pp.333-338

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

<< Previous article | Volume 80, Issue 4 / 2016 | Next article >>
N.N. Petrov and K.A. Shchelchkov, "On the interrelationship of two problems on evasion with many evaders," J. Appl. Math. Mech. 80 (4), 333-338 (2016)
Year 2016 Volume 80 Issue 4 Pages 333-338
DOI 10.1016/j.jappmathmech.2016.09.008
Title On the interrelationship of two problems on evasion with many evaders
Author(s) N.N. Petrov (Udmurt State University, Izhevsk, Russia, kma3@list.ru)
K.A. Shchelchkov (Udmurt State University, Izhevsk, Russia)
Abstract The problem of evasion is considered in which a group of pursuers and a group of evaders participate under the condition that the pursuers include both participants whose capabilities do not yield place to the capabilities of the evaders and participants with lesser capabilities. The aim of the group of pursuers is to capture all the evaders. The aim of the group of evaders is to prevent the capture, i.e., to make it possible for at least one of the evaders to avoid an encounter. The pursuers and the evaders employ piecewise-program strategies. It is shown that, if in a differential game at least one evader avoids the encounter on an infinite time interval, then upon the addition of "weak" pursuers evasion will take place on any finite time interval.
Received 30 August 2015
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892816301253
<< Previous article | Volume 80, Issue 4 / 2016 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 245, 119526 Moscow, Russia (+7 495) 434-2149 pmm@ipmnet.ru pmmedit@ipmnet.ru http://pmm.ipmnet.ru
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Journals on Mechanics Ltd.
© Journals on Mechanics Ltd.
Webmaster: Alexander Levitin
Rambler's Top100