{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:46:22Z","timestamp":1740123982410,"version":"3.37.3"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,2,21]],"date-time":"2019-02-21T00:00:00Z","timestamp":1550707200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11461019"],"award-info":[{"award-number":["11461019"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2019,6]]},"DOI":"10.1007\/s10957-019-01490-2","type":"journal-article","created":{"date-parts":[[2019,2,21]],"date-time":"2019-02-21T08:23:53Z","timestamp":1550737433000},"page":"1053-1075","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Optimal Mild Solutions for a Class of Nonlocal Multi-Valued Stochastic Delay Differential Equations"],"prefix":"10.1007","volume":"181","author":[{"given":"Zuomao","family":"Yan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Han","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,2,21]]},"reference":[{"key":"1490_CR1","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.K.: Impulsive Differential Equations and Inclusions, vol. 2. Hindawi Publishing Corporation, New York (2006)"},{"key":"1490_CR2","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1016\/j.na.2012.10.009","volume":"81","author":"R Sakthivel","year":"2013","unstructured":"Sakthivel, R., Revathi, P., Ren, Y.: Existence of solutions for nonlinear fractional stochastic differential equations. Nonlinear Anal. 81, 70\u201386 (2013)","journal-title":"Nonlinear Anal."},{"key":"1490_CR3","doi-asserted-by":"crossref","first-page":"328","DOI":"10.1016\/j.amc.2014.09.084","volume":"248","author":"G Arthi","year":"2014","unstructured":"Arthi, G., Park, J.H., Jung, H.Y.: Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay. Appl. Math. Comput. 248, 328\u2013341 (2014)","journal-title":"Appl. Math. Comput."},{"key":"1490_CR4","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1007\/s10957-016-0865-6","volume":"174","author":"P Balasubramaniam","year":"2017","unstructured":"Balasubramaniam, P., Tamilalagan, P.: The solvability and optimal controls for impulsive fractional stochastic integro-differential equations via resolvent operators. J. Optim. Theory Appl. 174, 139\u2013155 (2017)","journal-title":"J. Optim. Theory Appl."},{"key":"1490_CR5","doi-asserted-by":"publisher","first-page":"2603","DOI":"10.1016\/j.cam.2010.10.051","volume":"235","author":"Y Ren","year":"2011","unstructured":"Ren, Y., Hu, L., Sakthivel, R.: Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay. J. Comput. Appl. Math. 235, 2603\u20132614 (2011)","journal-title":"J. Comput. Appl. Math."},{"key":"1490_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/1687-1847-2013-1","volume":"2013","author":"Z Yan","year":"2013","unstructured":"Yan, Z., Zhang, H.: Existence of impulsive fractional partial neutral stochastic integro-differential inclusions with state-dependent delay in Hilbert spaces. Electron. J. Differ. Equ. 2013, 1\u201321 (2013)","journal-title":"Electron. J. Differ. Equ."},{"key":"1490_CR7","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1016\/j.camwa.2009.09.004","volume":"59","author":"A Lin","year":"2010","unstructured":"Lin, A., Hu, L.: Existence results for impulsive neutral stochastic functional integro-differential inclusions with nonlocal initial conditions. Comput. Math. Appl. 59, 64\u201373 (2010)","journal-title":"Comput. Math. Appl."},{"key":"1490_CR8","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1007\/s00033-012-0249-1","volume":"64","author":"Z Yan","year":"2013","unstructured":"Yan, Z., Yan, X.: Existence of solutions for a impulsive nonlocal stochastic functional integrodifferential inclusion in Hilbert spaces. Z. Angew. Math. Phys. 64, 573\u2013590 (2013)","journal-title":"Z. Angew. Math. Phys."},{"key":"1490_CR9","doi-asserted-by":"publisher","first-page":"1005","DOI":"10.1007\/s00009-015-0558-7","volume":"13","author":"A Chadha","year":"2016","unstructured":"Chadha, A., Pandey, D.N.: Existence of the mild solution for impulsive neutral stochastic fractional integro-differential inclusions with nonlocal conditions. Mediterr. J. Math. 13, 1005\u20131031 (2016)","journal-title":"Mediterr. J. Math."},{"key":"1490_CR10","doi-asserted-by":"publisher","DOI":"10.1142\/2892","volume-title":"Impulsive Differential Equations","author":"AM Samoilenko","year":"1995","unstructured":"Samoilenko, A.M., Perestyuk, N.A.: Impulsive Differential Equations. World Scientific, Singapore (1995)"},{"key":"1490_CR11","doi-asserted-by":"publisher","first-page":"1641","DOI":"10.1090\/S0002-9939-2012-11613-2","volume":"141","author":"E Hern\u00e1ndez","year":"2013","unstructured":"Hern\u00e1ndez, E., O\u2019Regan, D.: On a new class of abstract impulsive differential equations. Proc. Am. Math. Soc. 141, 1641\u20131649 (2013)","journal-title":"Proc. Am. Math. Soc."},{"key":"1490_CR12","doi-asserted-by":"crossref","first-page":"6743","DOI":"10.1016\/j.amc.2012.12.084","volume":"219","author":"M Pierri","year":"2013","unstructured":"Pierri, M., O\u2019Regan, D., Rolnik, V.: Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses. Appl. Math. Comput. 219, 6743\u20136749 (2013)","journal-title":"Appl. Math. Comput."},{"key":"1490_CR13","doi-asserted-by":"publisher","first-page":"980","DOI":"10.1016\/j.cnsns.2014.10.010","volume":"22","author":"X Yu","year":"2015","unstructured":"Yu, X., Wang, J.: Periodic boundary value problems for nonlinear impulsive evolution equations on Banach spaces. Commun. Nonlinear Sci. Numer. Simul. 22, 980\u2013989 (2015)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"1490_CR14","first-page":"1","volume":"23","author":"DN Chalishajar","year":"2018","unstructured":"Chalishajar, D.N., Kumar, A.: Total controllability of the second order semi-linear differential equation with infinite delay and non-instantaneous impulses. Math. Comput. Appl. 23, 1\u201313 (2018)","journal-title":"Math. Comput. Appl."},{"key":"1490_CR15","first-page":"329","volume":"5","author":"Z Yan","year":"2015","unstructured":"Yan, Z., Lu, F.: Existence results for a new class of fractional impulsive partial neutral stochastic integro-differential equations with infinite delay. J. Appl. Anal. Comput. 5, 329\u2013346 (2015)","journal-title":"J. Appl. Anal. Comput."},{"key":"1490_CR16","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/s10440-017-0145-y","volume":"155","author":"Z Yan","year":"2018","unstructured":"Yan, Z., Lu, F.: Solvability and optimal controls of a fractional impulsive stochastic partial integro-differential equation with state-dependent delay. Acta Appl. Math. 155, 57\u201384 (2018)","journal-title":"Acta Appl. Math."},{"key":"1490_CR17","first-page":"65","volume":"84","author":"S Zaidman","year":"1979","unstructured":"Zaidman, S.: On optimal mild solutions of non-homogeneous differential equations in Banach spaces. Proc. R. Soc. Edinb. Sect. 84, 65\u201379 (1979)","journal-title":"Proc. R. Soc. Edinb. Sect."},{"key":"1490_CR18","first-page":"1","volume":"2009","author":"A Debbouche","year":"2009","unstructured":"Debbouche, A., Elborai, M.M.: Weak almost periodic and optimal mild solutions of fractional evolution equations. Electron. J. Differ. Equ. 2009, 1\u20138 (2009)","journal-title":"Electron. J. Differ. Equ."},{"key":"1490_CR19","doi-asserted-by":"publisher","DOI":"10.1515\/9783110874228","volume-title":"Multi-Valued Differential Equations","author":"K Deimling","year":"1992","unstructured":"Deimling, K.: Multi-Valued Differential Equations. De Gruyter, Berlin (1992)"},{"key":"1490_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5561-1","volume-title":"Semigroups of Linear Operators and Applications to Partial Differential Equations","author":"A Pazy","year":"1983","unstructured":"Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer, New York (1983)"},{"key":"1490_CR21","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511666223","volume-title":"Stochastic Equations in Infinite Dimensions","author":"G Prato Da","year":"1992","unstructured":"Da Prato, G., Zabczyk, J.: Stochastic Equations in Infinite Dimensions. Cambridge University Press, Cambridge (1992)"},{"key":"1490_CR22","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1016\/j.camwa.2005.07.017","volume":"51","author":"BC Dhage","year":"2006","unstructured":"Dhage, B.C.: Fixed-point theorems for discontinuous multi-valued operators on ordered spaces with applications. Comput. Math. Appl. 51, 589\u2013604 (2006)","journal-title":"Comput. Math. Appl."},{"key":"1490_CR23","first-page":"781","volume":"13","author":"A Lasota","year":"1965","unstructured":"Lasota, A., Opial, Z.: An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations. Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys. 13, 781\u2013786 (1965)","journal-title":"Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys."},{"key":"1490_CR24","volume-title":"Functional Analysis","author":"R Larsen","year":"1973","unstructured":"Larsen, R.: Functional Analysis. Decker Inc., New York (1973)"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-019-01490-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-019-01490-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-019-01490-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,12]],"date-time":"2022-09-12T07:47:01Z","timestamp":1662968821000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-019-01490-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,21]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,6]]}},"alternative-id":["1490"],"URL":"https:\/\/doi.org\/10.1007\/s10957-019-01490-2","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"type":"print","value":"0022-3239"},{"type":"electronic","value":"1573-2878"}],"subject":[],"published":{"date-parts":[[2019,2,21]]},"assertion":[{"value":"16 August 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 February 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 February 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}