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A NEW TECHNIQUE IN BOUNDEDNESS OF INFINITE DELAY DIFFERENTIAL EQUATIONS

A NEW TECHNIQUE IN BOUNDEDNESS OF INFINITE DELAY DIFFERENTIAL EQUATIONS
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摘要 ANEWTECHNIQUEINBOUNDEDNESSOFINFINITEDELAYDIFFERENTIALEQUATIONS*ZhangShunian(张书年)(Dept.ofAppliedMathematics,ShanghaiJiaotongUn... A new technique is offered to establish the criteria of boundedness for infinite delay differential equations.The main idea is that several Liapunov functions (or functionals) are adopted,each of which involves partial components of x (or φ) so that the conditions ensuring the required boundedness are less restrictive.Some examples are given to illustrate the advantages of the obtained results.
作者 张书年
出处 《Journal of Shanghai Jiaotong university(Science)》 EI 1997年第2期3-7,共5页 上海交通大学学报(英文版)
关键词 INFINITE DELAY DIFFERENTIAL EQUATIONS UNIFORM STABILITY UNIFORM asymptotic STABILITY Liapunov functionals Razumikhin techniques infinite delay differential equations uniform stability uniform asymptotic stability Liapunov functionals Razumikhin techniques
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