{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T07:46:40Z","timestamp":1770882400943,"version":"3.50.1"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2010,7,20]],"date-time":"2010-07-20T00:00:00Z","timestamp":1279584000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2010,12]]},"DOI":"10.1007\/s10957-010-9727-9","type":"journal-article","created":{"date-parts":[[2010,7,19]],"date-time":"2010-07-19T19:42:33Z","timestamp":1279568553000},"page":"569-582","source":"Crossref","is-referenced-by-count":25,"title":["Second-order Neutral Stochastic Evolution Equations with Infinite Delay under Carath\u00e9odory Conditions"],"prefix":"10.1007","volume":"147","author":[{"given":"Y.","family":"Ren","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. D.","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,7,20]]},"reference":[{"key":"9727_CR1","doi-asserted-by":"crossref","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":"9727_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-8084-7","volume-title":"Applied Theory of Functional Differential Equations","author":"V.B. Kolmanovskii","year":"1992","unstructured":"Kolmanovskii, V.B., Myshkis, A.: Applied Theory of Functional Differential Equations. Kluwer Academic, Norwell (1992)"},{"key":"9727_CR3","volume-title":"Stability of Infinite Dimensional Stochastic Differential Equations with Applications","author":"K. Liu","year":"2006","unstructured":"Liu, K.: Stability of Infinite Dimensional Stochastic Differential Equations with Applications. Chapman & Hall, London (2006)"},{"key":"9727_CR4","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1080\/07362990500397582","volume":"24","author":"N.I. Mahmudov","year":"2006","unstructured":"Mahmudov, N.I.: Existence and uniqueness results for neutral SDEs in Hilbert spaces. Stoch. Anal. Appl. 24, 79\u201395 (2006)","journal-title":"Stoch. Anal. Appl."},{"key":"9727_CR5","volume-title":"Stochastic Differential Equations and Applications","author":"X. Mao","year":"1997","unstructured":"Mao, X.: Stochastic Differential Equations and Applications. Horwood, Chichester (1997)"},{"key":"9727_CR6","first-page":"27","volume":"33","author":"T. Caraballo","year":"1990","unstructured":"Caraballo, T.: Asymptotic exponential stability of stochastic partial differential equations with delay. Stochastics 33, 27\u201347 (1990)","journal-title":"Stochastics"},{"key":"9727_CR7","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1080\/07362999908809633","volume":"17","author":"T. Caraballo","year":"1999","unstructured":"Caraballo, T., Liu, K.: Exponential stability of mild solutions of stochastic partial differential equations with delays. Stoch. Anal. Appl. 17, 743\u2013763 (1999)","journal-title":"Stoch. Anal. Appl."},{"key":"9727_CR8","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1080\/07362999908809612","volume":"17","author":"T.E. Govindan","year":"1999","unstructured":"Govindan, T.E.: Exponential stability in mean-square of parabolic quasilinear stochastic delay evolution equations. Stoch. Anal. Appl. 17, 443\u2013461 (1999)","journal-title":"Stoch. Anal. Appl."},{"key":"9727_CR9","volume":"50","author":"Y. Ren","year":"2009","unstructured":"Ren, Y., Chen, L.: A\u00a0note on the neutral stochastic functional differential equations with infinite delay and Poisson jumps in an abstract space. J.\u00a0Math. Phys. 50, 082704 (2009)","journal-title":"J.\u00a0Math. Phys."},{"key":"9727_CR10","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.amc.2008.11.009","volume":"210","author":"Y. Ren","year":"2009","unstructured":"Ren, Y., Xia, N.: Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay. Appl. Math. Comput. 210, 72\u201379 (2009)","journal-title":"Appl. Math. Comput."},{"key":"9727_CR11","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1016\/j.amc.2009.04.013","volume":"214","author":"Y. Ren","year":"2009","unstructured":"Ren, Y., Xia, N.: A\u00a0note on the existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay. Appl. Math. Comput. 214, 457\u2013461 (2009)","journal-title":"Appl. Math. Comput."},{"key":"9727_CR12","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0084432","volume-title":"Functional-Differential Equations with Infinite Delay","author":"Y. Hino","year":"1991","unstructured":"Hino, Y., Murakami, S., Naito, T.: Functional-Differential Equations with Infinite Delay. Lecture Notes in Mathematics, vol.\u00a01473. Springer, Berlin (1991)"},{"key":"9727_CR13","first-page":"11","volume":"21","author":"J.K. Hale","year":"1978","unstructured":"Hale, J.K., Kato, J.: Phase spaces for retarded equations with infinite delay. Funkc. Ekvacioj. 21, 11\u201341 (1978)","journal-title":"Funkc. Ekvacioj."},{"key":"9727_CR14","series-title":"North Holland Mathematics Studies","volume-title":"Second Order Linear Differential Equations in Banach Spaces","author":"H.O. Fattorini","year":"1985","unstructured":"Fattorini, H.O.: Second Order Linear Differential Equations in Banach Spaces. North Holland Mathematics Studies, vol.\u00a0108. Elsevier Science, North-Holland, Amsterdam (1985)"},{"key":"9727_CR15","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1007\/BF01902205","volume":"32","author":"C.C. Travis","year":"1978","unstructured":"Travis, C.C., Webb, G.F.: Cosine families and abstract nonlinear second order differential equations. Acta Math. Acad. Sci. Hung. 32, 76\u201396 (1978)","journal-title":"Acta Math. Acad. Sci. Hung."},{"key":"9727_CR16","first-page":"331","volume-title":"Proceedings International Symposium on Nonlinear Equations in Abstract Spaces","author":"C.C. Travis","year":"1987","unstructured":"Travis, C.C., Webb, G.F.: Second order differential equations in Banach space. In: Proceedings International Symposium on Nonlinear Equations in Abstract Spaces, pp.\u00a0331\u2013361. Academic Press, New York (1987)"},{"key":"9727_CR17","first-page":"467","volume":"12","author":"M.A. McKibben","year":"2003","unstructured":"McKibben, M.A.: Second-order damped functional stochastic evolution equations in Hilbert space. Dyn. Syst. Appl. 12, 467\u2013487 (2003)","journal-title":"Dyn. Syst. Appl."},{"key":"9727_CR18","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1080\/07362990500522247","volume":"24","author":"N.I. Mahmudov","year":"2006","unstructured":"Mahmudov, N.I., McKibben, M.A.: Abstract second-order damped McKean-Vlasov stochastic evolution equations. Stoch. Anal. Appl. 24, 303\u2013328 (2006)","journal-title":"Stoch. Anal. Appl."},{"key":"9727_CR19","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1155\/S1048953304309020","volume":"2004","author":"M.A. McKibben","year":"2004","unstructured":"McKibben, M.A.: Second-order neutral stochastic evolution equations with heredity. J.\u00a0Appl. Math. Stoch. Anal. 2004, 177\u2013192 (2004)","journal-title":"J.\u00a0Appl. Math. Stoch. Anal."},{"key":"9727_CR20","first-page":"1023","volume":"70","author":"P. Balasubramaniam","year":"2009","unstructured":"Balasubramaniam, P., Muthukumar, P.: Approximate controllability of second-order stochastic distributed implicit functional differential systems with infinite delay. J.\u00a0Optim. Theory Appl. 70, 1023\u20131039 (2009)","journal-title":"J.\u00a0Optim. Theory Appl."},{"key":"9727_CR21","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/0022-0396(92)90148-G","volume":"96","author":"T. Taniguchi","year":"1992","unstructured":"Taniguchi, T.: Successive approximations to solutions of stochastic differential equations. J.\u00a0Differ. Equ. 96, 152\u2013169 (1992)","journal-title":"J.\u00a0Differ. Equ."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-010-9727-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-010-9727-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-010-9727-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,2]],"date-time":"2023-06-02T05:59:33Z","timestamp":1685685573000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-010-9727-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,7,20]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,12]]}},"alternative-id":["9727"],"URL":"https:\/\/doi.org\/10.1007\/s10957-010-9727-9","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,7,20]]}}}