Wen Zhao-hui
Abstract
This paper deals with the problem on the stability and uniform stability of perturbing n-dimensional Volterra integral and differential equation(t)=A(t)x(t)+∫t0C(t,s)x(s)ds+f(t,x(t)) f(t,0)≡0.It obtains some sufficient conditions for the zero solution of this equation to be stable as well as uniformly stable.
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This paper deals with the problem on the stability and uniform stability of perturbing n-dimensional Volterra integral and differential equation(t)=A(t)x(t)+∫t0C(t,s)x(s)ds+f(t,x(t)) f(t,0)≡0.It obtains some sufficient conditions for the zero solution of this equation to be stable as well as uniformly stable.
Key concepts: Mathematics, Volterra equations, Volterra integral equation, Stability (learning theory), Zero (linguistics), Mathematical analysis, Differential equation, Integral equation