{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T16:03:58Z","timestamp":1759939438680},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2014,7,29]],"date-time":"2014-07-29T00:00:00Z","timestamp":1406592000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2015,7]]},"DOI":"10.1007\/s00500-014-1392-8","type":"journal-article","created":{"date-parts":[[2014,7,28]],"date-time":"2014-07-28T14:58:21Z","timestamp":1406559501000},"page":"2063-2069","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":42,"title":["Uncertain differential equation with jumps"],"prefix":"10.1007","volume":"19","author":[{"given":"Kai","family":"Yao","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,7,29]]},"reference":[{"key":"1392_CR1","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1086\/260062","volume":"81","author":"F Black","year":"1973","unstructured":"Black F, Scholes M (1973) The pricing of options and corporate liabilities. J Politi Econ 81:637\u2013654","journal-title":"J Politi Econ"},{"issue":"1","key":"1392_CR2","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/s10700-010-9073-2","volume":"9","author":"X Chen","year":"2010","unstructured":"Chen X, Liu B (2010) Existence and uniqueness theorem for uncertain differential equations. Fuzzy Optim Decis Mak 9(1):69\u201381","journal-title":"Fuzzy Optim Decis Mak"},{"issue":"2","key":"1392_CR3","first-page":"32","volume":"8","author":"X Chen","year":"2011","unstructured":"Chen X (2011) American option pricing formula for uncertain financial market. Int J Oper Res 8(2):32\u201337","journal-title":"Int J Oper Res"},{"key":"1392_CR4","doi-asserted-by":"crossref","unstructured":"Chen X, Ralescu DA (2013) Liu process and uncertain calculus. J Uncertain Anal Appl 1(3)","DOI":"10.1186\/2195-5468-1-3"},{"issue":"4","key":"1392_CR5","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1007\/s00500-012-0927-0","volume":"17","author":"X Chen","year":"2013","unstructured":"Chen X, Gao J (2013) Uncertain term structure model of interest rate. Soft Comput 17(4):597\u2013604","journal-title":"Soft Comput"},{"issue":"3","key":"1392_CR6","first-page":"223","volume":"6","author":"Y Gao","year":"2012","unstructured":"Gao Y (2012) Existence and uniqueness theorem on uncertain differential equations with local Lipschitz condition. J Uncertain Syst 6(3):223\u2013232","journal-title":"J Uncertain Syst"},{"key":"1392_CR7","doi-asserted-by":"crossref","first-page":"3031","DOI":"10.1016\/j.apm.2013.11.037","volume":"38","author":"Y Gao","year":"2014","unstructured":"Gao Y, Yao K (2014) Continuous dependence theorems on solutions of uncertain differential equations. App Math Modell 38:3031\u20133037","journal-title":"App Math Modell"},{"key":"1392_CR8","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1115\/1.3658902","volume":"83","author":"RE Kalman","year":"1961","unstructured":"Kalman RE, Bucy RS (1961) New results in linear filtering and prediction theory. J Basic Eng 83:95\u2013108","journal-title":"J Basic Eng"},{"key":"1392_CR9","volume-title":"Uncertain Theory","author":"B Liu","year":"2007","unstructured":"Liu B (2007) Uncertain Theory, 2nd edn. Springer, Berlin","edition":"2"},{"issue":"1","key":"1392_CR10","first-page":"3","volume":"2","author":"B Liu","year":"2008","unstructured":"Liu B (2008) Fuzzy process, hybrid process and uncertain process. J Uncertain Syst 2(1):3\u201316","journal-title":"J Uncertain Syst"},{"issue":"1","key":"1392_CR11","first-page":"3","volume":"3","author":"B Liu","year":"2009","unstructured":"Liu B (2009) Some research problems in uncertainty theory. J Uncertain Syst 3(1):3\u201310","journal-title":"J Uncertain Syst"},{"key":"1392_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-13959-8","volume-title":"Uncertainty theory: a branch of mathematics for modeling human uncertainty","author":"B Liu","year":"2010","unstructured":"Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, Berlin"},{"issue":"4","key":"1392_CR13","first-page":"250","volume":"6","author":"B Liu","year":"2012","unstructured":"Liu B, Yao K (2012) Uncertain integral with respect to multiple canonical processes. J Uncertain Syst 6(4):250\u2013255","journal-title":"J Uncertain Syst"},{"key":"1392_CR14","doi-asserted-by":"crossref","unstructured":"Liu B (2013) Toward uncertain finance theory. J Uncertain Anal Appl 1(1)","DOI":"10.1186\/2195-5468-1-1"},{"issue":"4","key":"1392_CR15","first-page":"244","volume":"6","author":"YH Liu","year":"2012","unstructured":"Liu YH (2012) An analytic method for solving uncertain differential equations. J Uncertain Syst 6(4):244\u2013249","journal-title":"J Uncertain Syst"},{"key":"1392_CR16","doi-asserted-by":"crossref","unstructured":"Liu YH, Chen X, Ralescu DA (2014) Uncertain currency model and currency option pricing. Int J Intell Syst, to be published","DOI":"10.1002\/int.21680"},{"issue":"3","key":"1392_CR17","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1007\/s10700-012-9132-y","volume":"11","author":"K Yao","year":"2012","unstructured":"Yao K (2012) Uncertain calculus with renewal process. Fuzzy Optim Decis Mak 11(3):285\u2013297","journal-title":"Fuzzy Optim Decis Mak"},{"issue":"6","key":"1392_CR18","doi-asserted-by":"crossref","first-page":"1154","DOI":"10.1109\/TFUZZ.2012.2194152","volume":"20","author":"K Yao","year":"2012","unstructured":"Yao K, Li X (2012) Uncertain alternating renewal process and its application. IEEE Transa Fuzzy Syst 20(6):1154\u20131160","journal-title":"IEEE Transa Fuzzy Syst"},{"issue":"1","key":"1392_CR19","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10700-012-9139-4","volume":"12","author":"K Yao","year":"2013","unstructured":"Yao K, Gao J, Gao Y (2013) Some stability theorems of uncertain differential equation. Fuzzy Optim Decis Mak 12(1):3\u201313","journal-title":"Fuzzy Optim Decis Mak"},{"issue":"3","key":"1392_CR20","doi-asserted-by":"crossref","first-page":"825","DOI":"10.3233\/IFS-120688","volume":"25","author":"K Yao","year":"2013","unstructured":"Yao K, Chen X (2013) A numerical method for solving uncertain differential equations. J Intell Fuzzy Syst 25(3):825\u2013832","journal-title":"J Intell Fuzzy Syst"},{"key":"1392_CR21","doi-asserted-by":"crossref","unstructured":"Yao K (2013) Extreme values and integral of solution of uncertain differential equation. J Uncertain Anal Appl 1(2)","DOI":"10.1186\/2195-5468-1-2"},{"key":"1392_CR22","doi-asserted-by":"crossref","unstructured":"Yao K (2013) A type of nonlinear uncertain differential equations with analytic solution. J Uncertain Anal Appl 1(8)","DOI":"10.1186\/2195-5468-1-8"},{"issue":"1","key":"1392_CR23","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/s10700-012-9144-7","volume":"12","author":"XF Zhang","year":"2013","unstructured":"Zhang XF, Ning YF, Meng GW (2013) Delayed renewal process with uncertain interarrival times. Fuzzy Optim Decis Mak 12(1):79\u201387","journal-title":"Fuzzy Optim Decis Mak"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-014-1392-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-014-1392-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-014-1392-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,22]],"date-time":"2020-08-22T17:20:51Z","timestamp":1598116851000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-014-1392-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7,29]]},"references-count":23,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2015,7]]}},"alternative-id":["1392"],"URL":"https:\/\/doi.org\/10.1007\/s00500-014-1392-8","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7,29]]}}}