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Necessary conditions of Pontraygin's type for the optimal controls are derived by means of spike variation techniques.<\/jats:p>","DOI":"10.1137\/090763287","type":"journal-article","created":{"date-parts":[[2010,5,14]],"date-time":"2010-05-14T18:13:52Z","timestamp":1273860832000},"page":"4119-4156","source":"Crossref","is-referenced-by-count":113,"title":["Optimality Variational Principle for Controlled Forward-Backward Stochastic Differential Equations with Mixed Initial-Terminal Conditions"],"prefix":"10.1137","volume":"48","author":[{"given":"Jiongmin","family":"Yong","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,5,14]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.2307\/1907921"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1765(01)00432-3"},{"key":"R3","doi-asserted-by":"crossref","unstructured":"L. D. 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