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Cone-valued Lyapunov functions and stability for impulsive functional differential equations |
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| Authors: | Kaien Liu Guowei Yang |
| Institution: | aSchool of Mathematics, Qingdao University, Qingdao, Shandong 266071, People’s Republic of China;bSchool of Automation Engineering, Qingdao University, Qingdao, Shandong 266071, People’s Republic of China |
| Abstract: | The stability criteria in terms of two measures for impulsive functional differential equations are established via cone-valued Lyapunov functions and Razumikhin technique. The stability can be deduced from the (Q0,Q)-stability of comparison impulsive differential equations. An example is given to illustrate the advantages of the results obtained. |
| Keywords: | Impulsive functional differential equations Stability in terms of two measures color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4PB6VST-7&_mathId=mml2&_user=10&_cdi=5659&_rdoc=26&_acct=C000053510&_version=1&_userid=1524097&md5=fe46c636b7c1b01ad20376d97f967788" title="Click to view the MathML source" (Q0" target="_blank">alt="Click to view the MathML source">(Q0 Q)-stability Cone-valued Lyapunov functions Razumikhin technique |
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