Volterra积分微分方程的稳定性 | 曾志刚 | 数学物理学报

Volterra积分微分方程的稳定性

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1湖北师范学院数学系


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该文利用分析技巧,讨论了一类Volterra积分微分方程的稳定性.

[1] Tadayuki Hara;Toshiaki Yoneyama;Toshiki Iton .Asymptotic stability criteria for nonlinear volterra integrodifferential equations[J].Funkcialaj Ekvacioj Journal,1990,33:39-57.

[2] BURTON T A;Mahfoud W E .Stability criteria for volterra equations[J].Transactions of the American Mathematical Society,1983,279:143-174.

[3] Tadayuki Hara .Exponential asymptotic stability for volterra integrodifferential equations of nonconvolution type[J].Funkcialaj Ekvacioj Journal,1994,37:373-382.

[4] Elaydi S;Sivasundaram S .A unified approach to stability in integrodifferential equations via liapunov functions[J].Journal of Mathematical Analysis and Applications,1989,144(02):503-531.

[5] Tadayuki Hara;Toshiaki yoneyama;rinko miyazaki .Some refinements of razumikhin's method and their applications[J].Funkcialaj Ekvacioj Journal,1992,35:279-305.

[6] Brauer F .Asymptotic stability of a class of integrodifferential equation[J].Journal of Differential Equations,1978,28:180-188.

[7] BURTON T A .Stability theory for volterra equations[J].Journal of Differential Equations,1979,32:101-118.

[8] HARRIS C J;Miles J F.Stability of linear systems[M].New York: AcadPress,1980


语种: 中文   

关键词积分微分方程 稳定性 矩阵测度


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