关于初值问题解的稳定性
The Stability on the Solution of the Initial Value Problem
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Abstract: In this paper, using the differentiability of the solution with respect to the initial value and the parameter, we present a method which, different from Liapunov's direct method. will determine the stability of the non-stationary solution of the initial value problem when the non-stationary solution remains unknown.
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Key words:
- stability /
- initial value problem /
- differentiability
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[1] LaSalle,J.P.and S.Lefschetz,Stability by Liapunov's Direct Method,with Applications,Academic Press,New York(1961). [2] Rouche,N.,P.Habets and M.Laloy,Stability Theory by Liapunov's Direct Method,Springer-Verlag,New York(1977). [3] Hale,J.K.,Ordinary Differential Equations,Wiley-Interscience,New York(1969).中译本,《常微分方程》,人民教育出版吐,北京(1980),342. [4] LaSalle.J.P.Stability theory for ordinary differential equations,J.Diff.Eqs.,4(1968). [5] Watson,G.N.,A Treatise on the Theory of Bessel Function,2nd ed.,Cambridge(1944). -
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