STABILITY CRITERIA IN TERMS OF TWO MEASURES FOR DELAY DIFFERENTIAL EQUATIONS  

STABILITY CRITERIA IN TERMS OF TWO MEASURES FOR DELAY DIFFERENTIAL EQUATIONS

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作  者:KOU Chun-hai(寇春海) ZHANG Shu-nian(张书年) 

机构地区:[1]Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240 P. R China Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240 P. R China

出  处:《Applied Mathematics and Mechanics(English Edition)》2002年第3期311-320,共10页应用数学和力学(英文版)

基  金:theNationalNaturalScienceFoundationofChina( 1 983 1 0 3 0 )

摘  要:By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, employing auxiliary measure h*(t, x), criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, employing auxiliary measure h*(t, x), criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.

关 键 词:delay differential equations variational Liapunov method STABILITY two measures 

分 类 号:O175.13[理学—数学]

 

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