Universal Journal of Mathematics and Mathematical Sciences
Volume 1, Issue 2, Pages 119 - 135
(April 2012)
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UNIFORM STABILITY IN TERMS OF TWO MEASURES FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS
Xilin Fu, Xuling Wang, Haydar Akca and Xiaodi Li
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Abstract: This paper studies the uniform stability in terms of two measures for impulsive functional differential equations with infinite delays by using Lyapunov functions and Razumikhin technique. The results obtained improve and extend some recent works. The main advantage is that it can be applied to the stability problem of nonlinear impulsive functional differential equations with infinite delays. Finally, two examples are given to illustrate the effectiveness and advantages of the results obtained. |
Keywords and phrases: impulsive functional differential equations, Razumikhin technique, Lyapunov functions, infinite delays, uniform stability, two measures. |
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