{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T03:41:30Z","timestamp":1775014890976,"version":"3.50.1"},"reference-count":16,"publisher":"Pleiades Publishing Ltd","issue":"S1","license":[{"start":{"date-parts":[[2016,4,1]],"date-time":"2016-04-01T00:00:00Z","timestamp":1459468800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2016,4,1]],"date-time":"2016-04-01T00:00:00Z","timestamp":1459468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Proc. Steklov Inst. Math."],"published-print":{"date-parts":[[2016,4]]},"DOI":"10.1134\/s0081543816020036","type":"journal-article","created":{"date-parts":[[2016,5,15]],"date-time":"2016-05-15T23:17:14Z","timestamp":1463354234000},"page":"27-35","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints"],"prefix":"10.1134","volume":"292","author":[{"given":"A. V.","family":"Arutyunov","sequence":"first","affiliation":[]},{"given":"D. Yu.","family":"Karamzin","sequence":"additional","affiliation":[]},{"given":"F. L.","family":"Pereira","sequence":"additional","affiliation":[]}],"member":"137","published-online":{"date-parts":[[2016,5,17]]},"reference":[{"issue":"3","key":"7002_CR1","first-page":"475","volume":"125","author":"R. V. Gamkrelidze","year":"1959","unstructured":"R. V. Gamkrelidze, \u201cTime-optimal processes with bounded phase coordinates,\u201d Dokl. Akad. Nauk SSSR 125 3, 475\u2013478 (1959).","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"7002_CR2","volume-title":"The Mathematical Theory of Optimal Processes","author":"L. S. Pontryagin","year":"1983","unstructured":"L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes (Nauka, Moscow, 1983) [in Russian]."},{"issue":"4","key":"7002_CR3","first-page":"759","volume":"149","author":"A. Ya. Dubovitskii","year":"1963","unstructured":"A. Ya. Dubovitskii and A. A. Milyutin, \u201cExtremum problems under constraints,\u201d Dokl. Akad. Nauk SSSR 149 4, 759\u2013762 (1963).","journal-title":"Dokl. Akad. Nauk SSSR"},{"issue":"2","key":"7002_CR4","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1016\/0021-8928(68)90119-6","volume":"32","author":"A. B. Kurzhanskii","year":"1968","unstructured":"A. B. Kurzhanskii and Iu. S. Osipov, \u201cThe problem of control with bounded phase coordinates,\u201d J. Appl. Math. Mech. 32 2, 188\u2013195 (1968).","journal-title":"J. Appl. Math. Mech."},{"key":"7002_CR5","volume-title":"Control and Observation under Uncertainty","author":"A. B. Kurzhanskii","year":"1977","unstructured":"A. B. Kurzhanskii, Control and Observation under Uncertainty (Fizmatlit, Moscow, 1977) [in Russian]."},{"issue":"5","key":"7002_CR6","first-page":"1047","volume":"287","author":"A. B. Kurzhanskii","year":"1986","unstructured":"A. B. Kurzhanskii, \u201cAnalytic description of a bundle of viable trajectories of a differential system,\u201d Dokl. Akad. Nauk SSSR 287 5, 1047\u20131050 (1986).","journal-title":"Dokl. Akad. Nauk SSSR"},{"issue":"1","key":"7002_CR7","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1007\/BF01442559","volume":"5","author":"H. Maurer","year":"1979","unstructured":"H. Maurer, \u201cDifferential stability in optimal control problems,\u201d Appl. Math. Optim. 5 1, 283\u2013295 (1979).","journal-title":"Appl. Math. Optim."},{"issue":"1","key":"7002_CR8","first-page":"28","volume":"23","author":"A. V. Arutyunov","year":"1985","unstructured":"A. V. Arutyunov and N. T. Tynyanskii, \u201cThe maximum principle in a problem with phase constraints,\u201d Soviet J. Comput. Systems Sci. 23 1, 28\u201335 (1985).","journal-title":"Soviet J. Comput. Systems Sci."},{"issue":"1","key":"7002_CR9","first-page":"1","volume":"39","author":"A. V. Arutyunov","year":"1989","unstructured":"A. V. Arutyunov, \u201cOn the theory of the maximum principle in optimal control problems with phase constraints,\u201d Soviet Math. Dokl. 39 1, 1\u20134 (1989).","journal-title":"Soviet Math. Dokl."},{"key":"7002_CR10","volume-title":"A Necessary Condition in Optimal Control","author":"A. P. Afanas\u2019ev","year":"1990","unstructured":"A. P. Afanas\u2019ev, V. V. Dikusar, A. A. Milyutin, and S. A. Chukanov, A Necessary Condition in Optimal Control (Nauka, Moscow, 1990) [in Russian]."},{"issue":"4","key":"7002_CR11","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/0167-6911(95)00021-Z","volume":"26","author":"A. V. Arutyunov","year":"1995","unstructured":"A. V. Arutyunov and S. M. Aseev, \u201cState constraints in optimal control. The degeneracy phenomenon,\u201d Systems Control Lett. 26 4, 267\u2013273 (1995).","journal-title":"Systems Control Lett."},{"issue":"2","key":"7002_CR12","doi-asserted-by":"publisher","first-page":"438","DOI":"10.1006\/jmaa.1994.1366","volume":"187","author":"M. M. A. Ferreira","year":"1994","unstructured":"M. M. A. Ferreira and R. B. Vinter, \u201cWhen is the maximum principle for state constrained problems nondegenerate?\u201d J. Math. Anal. Appl. 187 2, 438\u2013467 (1994).","journal-title":"J. Math. Anal. Appl."},{"issue":"2","key":"7002_CR13","first-page":"137","volume":"19","author":"F. L. Pereira","year":"2000","unstructured":"F. L. Pereira, \u201cA maximum principle for impulsive control problems with state constraints,\u201d Comput. Math. Appl. 19 2, 137\u2013155 (2000).","journal-title":"Comput. Math. Appl."},{"issue":"12","key":"7002_CR14","doi-asserted-by":"publisher","first-page":"1586","DOI":"10.1134\/S0012266112120051","volume":"48","author":"A. V. Arutyunov","year":"2012","unstructured":"A. V. Arutyunov, \u201cProperties of the Lagrange multipliers in the Pontryagin maximum principle for optimal control problems with state constraints,\u201d Differential Equations 48 12, 1586\u20131595 (2012).","journal-title":"Differential Equations"},{"key":"7002_CR15","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1007\/s10957-011-9807-5","volume":"149","author":"A. V. Arutyunov","year":"2011","unstructured":"A. V. Arutyunov, D. Yu. Karamzin, and F. L. Pereira, \u201cThe maximum principle for optimal control problems with state constraints by R.V. Gamkrelidze: Revisited,\u201d J. Optim. Theory Appl. 149, 474\u2013493 (2011).","journal-title":"J. Optim. Theory Appl."},{"key":"7002_CR16","volume-title":"Variational Analysis and Generalized Differentiation. I: Basic Theory","author":"B. Mordukhovich","year":"2006","unstructured":"B. Mordukhovich, Variational Analysis and Generalized Differentiation. I: Basic Theory (Springer, Berlin, 2006), Ser. Grundlehren der Mathematischen Wissenschaften, Vol. 330."}],"container-title":["Proceedings of the Steklov Institute of Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0081543816020036.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0081543816020036","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1134\/S0081543816020036","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0081543816020036.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T02:22:37Z","timestamp":1775010157000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0081543816020036"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4]]},"references-count":16,"journal-issue":{"issue":"S1","published-print":{"date-parts":[[2016,4]]}},"alternative-id":["7002"],"URL":"https:\/\/doi.org\/10.1134\/s0081543816020036","relation":{},"ISSN":["0081-5438","1531-8605"],"issn-type":[{"value":"0081-5438","type":"print"},{"value":"1531-8605","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,4]]},"assertion":[{"value":"10 July 2014","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 May 2016","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}