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000760295 019__ $$a957635712$$a957739541$$a958779027
000760295 020__ $$a9783662527290$$q(electronic book)
000760295 020__ $$a3662527294$$q(electronic book)
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000760295 020__ $$z9783662527276
000760295 035__ $$aSP(OCoLC)ocn957700537
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000760295 049__ $$aISEA
000760295 050_4 $$aQA371
000760295 08204 $$a515.35$$223
000760295 1001_ $$aYao, Kai,$$eauthor.
000760295 24510 $$aUncertain differential equations$$h[electronic resource] /$$cKai Yao.
000760295 260__ $$aBerlin :$$bSpringer,$$c2016.
000760295 300__ $$a1 online resource.
000760295 336__ $$atext$$btxt$$2rdacontent
000760295 337__ $$acomputer$$bc$$2rdamedia
000760295 338__ $$aonline resource$$bcr$$2rdacarrier
000760295 4901_ $$aSpringer uncertainty research
000760295 504__ $$aIncludes bibliographical references and index.
000760295 5050_ $$aPreface; Uncertain Variable; Uncertain Process; Contour Process; Uncertain Calculus; Uncertain Differential Equation; Uncertain Calculus with Renewal Process; Uncertain Differential Equation with Jumps; Multi-Dimensional Uncertain Differential Equation; High-Order Uncertain Differential Equation; Uncertainty Theory Online; Purpose; Acknowledgment; Contents; Frequently Used Symbols; 1 Introduction; 1.1 Uncertain Differential Equation; 1.2 Uncertain Differential Equation with Jumps; 1.3 Multi-Dimensional Uncertain Differential Equation; 1.4 High-Order Uncertain Differential Equation
000760295 5058_ $$a2 Uncertain Variable2.1 Uncertain Measure; 2.2 Uncertain Variable; 2.3 Uncertainty Distribution; 2.4 Inverse Uncertainty Distribution; 2.5 Expected Value; 2.6 Variance; 3 Uncertain Process; 3.1 Uncertain Process; 3.2 Extreme Value; 3.3 Time Integral; 4 Contour Process; 4.1 Contour Process; 4.2 Inverse Uncertainty Distribution; 4.3 Extreme Value; 4.4 Time Integral; 4.5 Monotone Function; 5 Uncertain Calculus; 5.1 Canonical Liu Process; 5.2 Liu Integral; 5.3 Liu Process; 6 Uncertain Differential Equation; 6.1 Uncertain Differential Equation; 6.2 Analytic Methods; 6.3 Yao -- Chen Formula
000760295 5058_ $$a6.4 Numerical Methods6.5 Existence and Uniqueness Theorem; 6.6 Stability Theorems; 6.7 Liu's Stock Model; 6.8 Yao's Stock Model; 7 Uncertain Calculus with Renewal Process; 7.1 Renewal Process; 7.2 Yao Integral; 7.3 Yao Process; 8 Uncertain Differential Equation with Jumps; 8.1 Uncertain Differential Equation with Jumps; 8.2 Existence and Uniqueness Theorem; 8.3 Stability Theorems; 8.4 Yu's Stock Model; 9 Multi-Dimensional Uncertain Differential Equation; 9.1 Multi-Dimensional Canonical Liu Process; 9.2 Multi-Dimensional Liu Integral; 9.3 Multi-Dimensional Liu Process
000760295 5058_ $$a9.4 Multi-Dimensional Uncertain Differential Equation10 High-Order Uncertain Differential Equation; 10.1 High-Order Uncertain Differential Equation; 10.2 Equivalent Transformation; 10.3 Yao Formula; 10.4 Numerical Method; 10.5 Existence and Uniqueness Theorem; References; Index
000760295 506__ $$aAccess limited to authorized users.
000760295 588__ $$aOnline resource, title from PDF title page (viewed September 8, 2016.)
000760295 650_0 $$aDifferential equations.
000760295 650_0 $$aUncertainty.
000760295 830_0 $$aSpringer uncertainty research.
000760295 852__ $$bebk
000760295 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-662-52729-0$$zOnline Access$$91397441.1
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