{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T05:17:31Z","timestamp":1772255851913,"version":"3.50.1"},"reference-count":7,"publisher":"Steklov Mathematical Institute","funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["22-11-00042"],"award-info":[{"award-number":["22-11-00042"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003443","name":"Ministry of Science and Higher Education of the Russian Federation","doi-asserted-by":"publisher","award":["FWNF-2022-0006"],"award-info":[{"award-number":["FWNF-2022-0006"]}],"id":[{"id":"10.13039\/501100003443","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["\u0422\u0440\u0443\u0434\u044b \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0438\u043d\u0441\u0442\u0438\u0442\u0443\u0442\u0430 \u0438\u043c\u0435\u043d\u0438 \u0412. \u0410. \u0421\u0442\u0435\u043a\u043b\u043e\u0432\u0430","Trudy Matematicheskogo Instituta imeni V.A. Steklova","\u0422\u0440\u0443\u0434\u044b \u041c\u0418\u0410\u041d","Trudy Mat. Inst. Steklova","\u0422\u0440\u0443\u0434\u044b \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0438\u043d\u0441\u0442\u0438\u0442\u0443\u0442\u0430 \u0438\u043c \u0421\u0442\u0435\u043a\u043b\u043e\u0432\u0430"],"published-print":{"date-parts":[[2023,6]]},"abstract":"<jats:p>\u041f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u043f\u0440\u0438 $n&gt;1$ \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u043b\u0430\u0434\u043a\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0431\u0435\u0437 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u0448\u0430\u0440\u0435 $B^n$, \u0447\u0435\u0442\u043d\u0443\u044e \u043d\u0430 \u0435\u0433\u043e \u0433\u0440\u0430\u043d\u0438\u0446\u0435 $S^{n-1}$. \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0435 \u043e\u0431\u043e\u0431\u0449\u0435\u043d\u0438\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u043e\u043b\u043b\u044f \u043d\u0430 \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u0438 $n&gt;1$ \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043c\u0435\u0441\u0442\u0430.<\/jats:p>","DOI":"10.4213\/tm4319","type":"journal-article","created":{"date-parts":[[2023,9,7]],"date-time":"2023-09-07T06:38:24Z","timestamp":1694068704000},"page":"156-161","source":"Crossref","is-referenced-by-count":0,"title":["\u041e \u0433\u043b\u0430\u0434\u043a\u0438\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u0445, \u0447\u0435\u0442\u043d\u044b\u0445 \u043d\u0430 \u0433\u0440\u0430\u043d\u0438\u0446\u0435 \u0448\u0430\u0440\u0430","On Smooth Functions That Are Even on the Boundary of a Ball","\u041e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0438 \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u044b","Optimal Control and Dynamical Systems"],"prefix":"10.4213","volume":"321","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2686-4654","authenticated-orcid":true,"given":"Sergey Evgenevich","family":"Zhukovskiy","sequence":"first","affiliation":[{"name":"V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, ul. Profsoyuznaya 65, Moscow, 117997 Russia"}]},{"given":"Konstantin Valer'evich","family":"Storozhuk","sequence":"additional","affiliation":[{"name":"Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia"}]}],"member":"2731","published-online":{"date-parts":[[2023,9,7]]},"reference":[{"key":"ref-10.4213-tm4319-1-1-1","volume-title":"\u0412\u0435\u043a\u0442\u043e\u0440\u043d\u044b\u0435 \u043f\u043e\u043b\u044f \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438","author":"\u041a\u0440\u0430\u0441\u043d\u043e\u0441\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u041c.\u0410., \u041f\u0435\u0440\u043e\u0432 \u0410.\u0418., \u041f\u043e\u0432\u043e\u043b\u043e\u0446\u043a\u0438\u0439 \u0410.\u0418., \u0417\u0430\u0431\u0440\u0435\u0439\u043a\u043e \u041f.\u041f.","year":"1963"},{"key":"ref-10.4213-tm4319-1-1-2","volume-title":"Plane Vector Fields","author":"M. A. Krasnosel'skiy, A. I. Perov, A. I. Povolotskiy, and P. P. Zabreiko","year":"1966"},{"issue":"3","key":"ref-10.4213-tm4319-1-2-1","first-page":"290","article-title":"\u041e\u0431\u043e\u0431\u0449\u0435\u043d\u0438\u0435 \u0442\u0435\u043e\u0440\u0435\u043c \u0420\u043e\u043b\u043b\u044f \u0438 \u0414\u0430\u0440\u0431\u0443 \u0434\u043b\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445","volume":"54","author":"\u0417\u0430\u0431\u0440\u0435\u0439\u043a\u043e \u041f.\u041f., \u041a\u0440\u0438\u0432\u043a\u043e-\u041a\u0440\u0430\u0441\u044c\u043a\u043e \u0410.\u0412.","year":"2018","journal-title":"\u0412\u0435\u0441\u0446i \u041d\u0430\u0446. \u0430\u043a\u0430\u0434. \u043d\u0430\u0432\u0443\u043a \u0411\u0435\u043b\u0430\u0440\u0443\u0441i. \u0421\u0435\u0440. \u0444i\u0437.-\u043c\u0430\u0442. \u043d\u0430\u0432\u0443\u043a"},{"key":"ref-10.4213-tm4319-1-3-1","doi-asserted-by":"publisher","DOI":"10.4213\/sm392"},{"key":"ref-10.4213-tm4319-1-3-2","doi-asserted-by":"publisher","DOI":"10.1070\/SM1999v190n03ABEH000392"},{"key":"ref-10.4213-tm4319-1-4-1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1961-10567-3"},{"key":"ref-10.4213-tm4319-1-5-1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1969-0243542-1"}],"container-title":["\u0422\u0440\u0443\u0434\u044b \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0438\u043d\u0441\u0442\u0438\u0442\u0443\u0442\u0430 \u0438\u043c\u0435\u043d\u0438 \u0412. \u0410. \u0421\u0442\u0435\u043a\u043b\u043e\u0432\u0430","Trudy Matematicheskogo Instituta imeni V.A. Steklova"],"original-title":[],"language":"ru","deposited":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T06:55:04Z","timestamp":1745996104000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mathnet.ru\/tm4319"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6]]},"references-count":7,"URL":"https:\/\/doi.org\/10.4213\/tm4319","relation":{"has-translation":[{"id-type":"doi","id":"10.1134\/S0081543823020104","asserted-by":"subject"},{"id-type":"doi","id":"10.1134\/S0081543823020104","asserted-by":"object"}]},"ISSN":["0371-9685"],"issn-type":[{"value":"0371-9685","type":"print"}],"subject":[],"published":{"date-parts":[[2023,6]]}}}