Properties of Interval Vector-Valued Arithmetic Based on gH-Difference
Properties of Interval Vector-Valued Arithmetic Based on gH-Difference
关键词
向量值
区间数
多属性
算法
区间动力系统
代数方程组
运算规则
算术性质
Generalized Hukuhara Difference
Generalized Hukuhara Derivative
Interval Arithmetic
Interval Vector-valuedSpace
参考文献15
-
1Moore, Ramon E. Interval analysis. Englewood Cliffs: Prentice-Hall, 1966.
-
2Neumaier, Arnold. Interval methods for systems of equations. Cambridge: Cambridge university press, 1990.
-
3Nedialkov, Nedialko S., Kenneth R. Jackson, and John D. Pryce. An effective high-order interval method for validating existence and uniqueness of the solution of an IVP for an ODE. Reliable Computing 7.6 (2001): 449-465.
-
4Lin, Youdong, and Mark A. Stadtherr. Validated solutions of initial value problems for parametric ODEs. Applied Numerical Mathematics 57.10 (2007): 1145-1162.
-
5Lu, H. W., et al. Numerical solutions comparison for interval linear programming problems based on coverage and validity rates." Applied Mathematical Modelling 38.3 (2014): 1092-1100.
-
6Hukuhara, Masuo. Integration des applications mesurables dont la valeur est un compact convexe. Funkcial. Ekvac 10 (1967): 205-223.
-
7Stefanini, Luciano. A generalization of Hukuhara difference and division for interval and fuzzy arithmetic. Fuzzy sets and systems 161.11 (2010): 1564-1584.
-
8Stefanini, Luciano. A generalization of Hukuhara difference for interval and fuzzy arithmetic. Working Paper EMS Series, University of Urbino, www.repee.org, 2008.
-
9Stefanini, Luciano. A generalization of Hukuhara difference. Soft Methods for Handling Variability and Imprecision 48 (2008) : 203 -210.
-
10Stefanini, Luciano, and Barnabas Bede. Generalized Hukuhara differentiability of interval-valued functions and interval differential equations. Nonlinear Analysis: Theory, Methods & Applications 71.3 (2009): 1311-1328.
-
1Kazuaki Kitahara (School of Science, Kwansei Gakuin University, Japan) Toshinao Okada ( Kagawa University, Japan).ON VECTOR-VALUED FUNCTION SPACES WITH HELLY'S PROPERTY[J].Analysis in Theory and Applications,2001,17(2):86-100.
-
2Shao Guang SHI.Estimates for Vector-valued Commutators on Weighted Morrey Space and Applications[J].Acta Mathematica Sinica,English Series,2013,29(5):883-896. 被引量:2
-
3Cheng Ri-yan,Gan Shi-xin.Two-Parameter Vector-Valued Martingales and Geometrical Properties of Banach Spaces[J].Wuhan University Journal of Natural Sciences,1999,4(2):16-23. 被引量:6
-
4BU ShangQuan,CAI Gang.Solutions of second order degenerate integro-differential equations in vector-valued function spaces[J].Science China Mathematics,2013,56(5):1059-1072. 被引量:4
-
5刘建庸,刘克.MARKOV DECISION PROGRAMMING WITH CONSTRAINTS[J].Acta Mathematicae Applicatae Sinica,1994,10(1):1-11. 被引量:1
-
6Wei WANG Jing Shi XU.Vector-Valued Multilinear Commutators of Singular Integrals with Mixed Homogeneity[J].Journal of Mathematical Research and Exposition,2010,30(3):429-441.
-
7CHEN Shao-dong HUANG Na.The Biorthogonality of Multiple Vector-valued Bivariate Wavelet Packets[J].Chinese Quarterly Journal of Mathematics,2010,25(2):208-213.
-
8Jing Hui QIU Xin Qing YANG.A Generalized Vector-valued Variational Principle in Fréchet Spaces[J].Acta Mathematica Sinica,English Series,2010,26(11):2145-2156.
-
9HUA De-lin FENG Jin-shun.Characterizations of Orthogonal Vector-valued Multivariate Wavelet Packets[J].Chinese Quarterly Journal of Mathematics,2008,23(4):606-614.
-
10Cui Lan WU.A Characterization of Some Weighted Inequalities for the Vector-valued Weighted Maximal Function[J].Acta Mathematica Sinica,English Series,2010,26(11):2191-2198.