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The work extends some previous results of the first author, results concerning the Lyapunov stability of the zero solution of some nonautonomous nonlinear evolution equation.
Czasopismo
Rocznik
Tom
Strony
117--127
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
Bibliografia
- [1] K. J. Engel, R. Nagel, One parameter semigroups for linear evolution equations, Springer, 2000.
- [2] G. Guhring, F. Rabiger, Linearized stability for semilinear non-autonomous evolution equations with applications to retarded di_erential equations, Ulmer Seminare, 2(1997).
- [3] A. V. Ion, Lyapunov stability of the zero solution of a perturbed abstract parabolic nonautonomous equation, ROMAI Journal, 4, 2(2008), 105-114.
- [4] R. Schnaubelt, Asymptotic behaviour of parabolic nonautonomous e quations, in Functional Evolution Equations, M. Iannelli, R. Nagel, S. Piazzera (eds.), Lecture Notes in Mathematics(1855), Springer, 2004.
- [5] V. A. Trenogin, The Lyapunov theorem on stability with respect to linear approximation as a corollary to the implicit operator theorem, Doklady Academii Nauk, 407(2006), 742-746, in Russian; English Transl. in Doklady Mathematics, 73, 2(2006), 292-295.
- [6] V. A. Trenogin, Asymptotic stability of trivial solution of differential equations with unbounded nonlinearity, in Banach spaces, ROMAI Journal, 3, 1(2007), 207-212.
- [7] V. A. Trenogin, Two reduction schemes in investigation of stability by Lyapunov and asymptotic stability for abstract parabolic differential equations, ROMAI Journal, 4, 2(2008), 169-176.
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Bibliografia
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bwmeta1.element.baztech-article-PWA7-0043-0031