Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique
نویسندگان
چکیده
منابع مشابه
Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique
and Applied Analysis 3 Definition 2.1. The trivial solution of system 2.2 is said to be globally exponentially stable, if there exist numbers λ > 0 and M 1 such that ∣∣x(t, t0, φ )∣∣ M∥∥φ∥∥e−λt, t 0, 2.3 whenever φ ∈ PC. Definition 2.2. V : −τ,∞ ×Rn → R is said to belong to the class ν0, ifV is continuous on each of the sets tk−1, tk × R, lim t,y → t− k ,x V t, y V tk, x exists, V t, x is local...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2010
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2010/987372