{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T18:01:02Z","timestamp":1775066462237,"version":"3.50.1"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T00:00:00Z","timestamp":1619568000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T00:00:00Z","timestamp":1619568000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002261","name":"SPS1","doi-asserted-by":"publisher","award":["20-01-00293"],"award-info":[{"award-number":["20-01-00293"]}],"id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012190","name":"Ministry of Science and Higher Education of the Russian Federation","doi-asserted-by":"crossref","award":["075-00232-20-01"],"award-info":[{"award-number":["075-00232-20-01"]}],"id":[{"id":"10.13039\/501100012190","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Dyn Games Appl"],"published-print":{"date-parts":[[2022,6]]},"DOI":"10.1007\/s13235-021-00387-y","type":"journal-article","created":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T07:06:30Z","timestamp":1619593590000},"page":"632-642","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Multiple Capture of a Given Number of Evaders in the Problem of Simple Pursuit with Phase Restrictions on Timescales"],"prefix":"10.1007","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0303-3559","authenticated-orcid":false,"given":"Nikolai N.","family":"Petrov","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,4,28]]},"reference":[{"key":"387_CR1","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1515\/9783112581445-002","volume":"59","author":"B Aulbach","year":"1990","unstructured":"Aulbach B, Hilger S (1990) Linear dynamic processes with inhomogeneous time scale. Nonlinear Dyn Quantum Dyn Syst 59:9\u201320","journal-title":"Nonlinear Dyn Quantum Dyn Syst"},{"key":"387_CR2","doi-asserted-by":"publisher","first-page":"3","DOI":"10.20537\/vm090301","volume":"3","author":"AS Bannikov","year":"2009","unstructured":"Bannikov AS (2009) On one problem of simple pursuit. Vestn Udmurt Univ Mat Mekh Komp Nauki 3:3\u201311 (in Russian)","journal-title":"Vestn Udmurt Univ Mat Mekh Komp Nauki"},{"key":"387_CR3","doi-asserted-by":"publisher","DOI":"10.1155\/9789775945501","volume-title":"Impulsive differential equations and inclusions","author":"M Benchohra","year":"2006","unstructured":"Benchohra M, Henderson J, Ntouyas S (2006) Impulsive differential equations and inclusions. Hindawi Publishing Corporation, New York"},{"key":"387_CR4","volume-title":"Conflict interaction of groups of controlled objects","author":"AI Blagodatskikh","year":"2009","unstructured":"Blagodatskikh AI, Petrov NN (2009) Conflict interaction of groups of controlled objects. Udmurt State University, Izhevsk (in Russian)"},{"key":"387_CR5","volume-title":"Quantitative and qualitative differential games","author":"A Blaquiere","year":"1969","unstructured":"Blaquiere A, Gerard F, Leitmann G (1969) Quantitative and qualitative differential games. Academic Press, New York"},{"key":"387_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-8230-9","volume-title":"A advances in dynamic equations on time scales","author":"M Bohner","year":"2003","unstructured":"Bohner M, Peterson A (2003) A advances in dynamic equations on time scales. Birkhauser, Boston"},{"key":"387_CR7","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.tcs.2013.12.001","volume":"522","author":"SD Bopardikar","year":"2014","unstructured":"Bopardikar SD, Suri S (2014) $$k$$-Capture in multiagent pursuit evasion, or the lion and the hyenas. Theor Comput Sci 522:13\u201323","journal-title":"Theor Comput Sci"},{"issue":"1\u20132","key":"387_CR8","doi-asserted-by":"publisher","first-page":"194","DOI":"10.1016\/j.mcm.2005.09.028","volume":"43","author":"A Cabada","year":"2006","unstructured":"Cabada A, Vivero DR (2006) Expression of the Lebesgue $$\\Delta $$-integral on time scales as a usual Lebesgue integral; application to the calculus of $$\\Delta $$-antiderivatives. Math Comput Modelli 43(1\u20132):194\u2013207","journal-title":"Math Comput Modelli"},{"key":"387_CR9","volume-title":"Conflict controlled processes","author":"AA Chikrii","year":"1992","unstructured":"Chikrii AA (1992) Conflict controlled processes. Naukova dumka, Kiev (in Russian)"},{"key":"387_CR10","volume-title":"Differential games","author":"A Friedman","year":"1971","unstructured":"Friedman A (1971) Differential games. John Wiley and Sons, New York"},{"key":"387_CR11","volume-title":"Mathematical methods of control a few dynamic processes","author":"NL Grigorenko","year":"1990","unstructured":"Grigorenko NL (1990) Mathematical methods of control a few dynamic processes. Moscow State University, Moscow (in Russian)"},{"key":"387_CR12","first-page":"41","volume":"1","author":"NL Grigorenko","year":"1983","unstructured":"Grigorenko NL (1983) Simple pursuit evasion game with a group of pursuers and one evader. Vestnik Moskov Univ Ser XV Vychisl Matematika i Kibernetika 1:41\u201347 (in Russian)","journal-title":"Vestnik Moskov Univ Ser XV Vychisl Matematika i Kibernetika"},{"issue":"1","key":"387_CR13","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/S0022-247X(03)00361-5","volume":"285","author":"GS Guseinov","year":"2003","unstructured":"Guseinov GS (2003) Integration on time scales. J Math Anal Appl 285(1):107\u2013127","journal-title":"J Math Anal Appl"},{"key":"387_CR14","volume-title":"Combinatorial theory","author":"M Hall","year":"1967","unstructured":"Hall M (1967) Combinatorial theory. Blaisdell Publishing Company, Waltham, Toronto, London"},{"key":"387_CR15","volume-title":"Pursuit games","author":"O Hajek","year":"1975","unstructured":"Hajek O (1975) Pursuit games. Academic Press, New York"},{"issue":"1\u20132","key":"387_CR16","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1007\/BF03323153","volume":"18","author":"S Hilger","year":"1990","unstructured":"Hilger S (1990) Analysis on measure chains\u2014a unified approach to continuous and discrete calculus. Results Math 18(1\u20132):18\u201356","journal-title":"Results Math"},{"key":"387_CR17","volume-title":"Differential games","author":"R Isaacs","year":"1965","unstructured":"Isaacs R (1965) Differential games. John Wiley and Sons, New York"},{"key":"387_CR18","volume-title":"Positional differential games","author":"NN Krasovskii","year":"1974","unstructured":"Krasovskii NN, Subbotin AI (1974) Positional differential games. Nauka, Moscow (in Russian)"},{"key":"387_CR19","volume-title":"Cooperative and noncooperative many-player differential games","author":"G Leitmann","year":"1974","unstructured":"Leitmann G (1974) Cooperative and noncooperative many-player differential games. Springer-Verlag, Vienna, Austria"},{"key":"387_CR20","volume-title":"Differential games of pursuit","author":"LA Petrosyan","year":"1977","unstructured":"Petrosyan LA (1977) Differential games of pursuit. Leningrad University Press, Leningrad (in Russian)"},{"issue":"6","key":"387_CR21","doi-asserted-by":"publisher","first-page":"841","DOI":"10.1134\/S0012266119060119","volume":"55","author":"NN Petrov","year":"2019","unstructured":"Petrov NN (2019) Group pursuit problem in a differential game with fractional derivatives, state constraints, and simple matrix. Differ Equ 55(6):841\u2013848","journal-title":"Differ Equ"},{"issue":"4","key":"387_CR22","first-page":"606","volume":"4","author":"NN Petrov","year":"1968","unstructured":"Petrov NN (1968) About controllability of autonomous systems. Differ Equ 4(4):606\u2013617 (in Russian)","journal-title":"Differ Equ"},{"issue":"4","key":"387_CR23","first-page":"725","volume":"23","author":"NN Petrov","year":"1987","unstructured":"Petrov NN (1987) Prokopenko VA One problem of pursuit of a group of evader. Differ Equ 23(4):725\u2013726 (in Russian)","journal-title":"Differ Equ"},{"key":"387_CR24","volume-title":"Selected scientific works","author":"LS Pontryagin","year":"1988","unstructured":"Pontryagin LS (1988) Selected scientific works. Nauka, Moscow (in Russian)"},{"key":"387_CR25","volume-title":"Methods of solving the problem of avoiding encounter in mathematical control theory","author":"NYu Satimov","year":"2000","unstructured":"Satimov NYu, Rikhsiev BB (2000) Methods of solving the problem of avoiding encounter in mathematical control theory. Fan, Tashkent (in Russian)"},{"key":"387_CR26","volume-title":"Optimization of a guarantee in problems of control","author":"AI Subbotin","year":"1981","unstructured":"Subbotin AI, Chentsov AG (1981) Optimization of a guarantee in problems of control. Nauka, Moscow (in Russian)"}],"container-title":["Dynamic Games and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-021-00387-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s13235-021-00387-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-021-00387-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,18]],"date-time":"2022-05-18T16:44:33Z","timestamp":1652892273000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s13235-021-00387-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,28]]},"references-count":26,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["387"],"URL":"https:\/\/doi.org\/10.1007\/s13235-021-00387-y","relation":{},"ISSN":["2153-0785","2153-0793"],"issn-type":[{"value":"2153-0785","type":"print"},{"value":"2153-0793","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,4,28]]},"assertion":[{"value":"9 April 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 April 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}