Stability and periodicity for linear differential equations with periodic coefficients
L. Erbe (1975)
Annales Polonici Mathematici
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L. Erbe (1975)
Annales Polonici Mathematici
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Chu, Jifeng, Xia, Ting (2010)
Abstract and Applied Analysis
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Buse, C., Zada, A. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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A. T. ADEMOLA, M. O. OGUNDIRAN, P. O. ARAWOMO (2015)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper, criteria are established for uniform stability, uniform ultimate boundedness and existence of periodic solutions for third order nonlinear ordinary differential equations. In the investigation Lyapunov’s second method is used by constructing a complete Lyapunov function to obtain our results. The results obtained in this investigation complement and extend many existing results in the literature.
Ashordia, M., Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Stanisław Kasprzyk (1972)
Annales Polonici Mathematici
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Gaetano Zampieri (1989)
Rendiconti del Seminario Matematico della Università di Padova
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Sam B. Nadler, Jr. (1973)
Colloquium Mathematicae
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M. M. Zdravkovich (1970)
Matematički Vesnik
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Peter E. Kloeden, Thomas Lorenz (2014)
Nonautonomous Dynamical Systems
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A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.
Lakshmikantham, V., Liu, X., Leela, S. (1998)
Mathematical Problems in Engineering
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