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The Stability of a Special Functional Equation with Zero Solution

Abstract— This paper have mainly studied the zero solution stability problem about the first-order functional equation X'(t)=a(t)x(t)+b(t)x(t-m1)+c(t)x(t-m2). Unifies the Lyapunov stable knowledge, through structure suitable functional, establishes some appropriate inequalities to the functional system's solution, system's zero solution to stabilize identically with the approach stable satisfied condition are obtained.

Index Terms— differential equation, stability of zero solution, lyapunov function, asymptotic stability.

Lei Jiang
Department of Mathematics,Chengdu Textile College, CHINA

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Cite: Lei Jiang, "The Stability of a Special Functional Equation with Zero Solution," Proceedings of 2018 the 8th International Workshop on Computer Science and Engineering, pp. 435-440, Bangkok, 28-30 June, 2018.