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Novel Bounds for Solutions of Nonlinear Differential Equations

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53343#.VL3KrSzQrzE Author(s)    A. A. Martynyuk Affiliation(s) S.P. Timoshenko Institute of Mechanics of NAS of Ukraine, Kyiv, Ukraine . ABSTRACT In this paper the estimates for norms of solutions to nonlinear systems are obtained via an integral inequality. As an application we considered affine control systems and systems of equations for synchronization of motions.   KEYWORDS Nonlinear Systems , Novel Bounds for Solutions , Stability , Synchronization Cite this paper Martynyuk, A. (2015) Novel Bounds for Solutions of Nonlinear Differential Equations. Applied Mathematics , 6 , 182-194. doi: 10.4236/am.2015.61018 .   References [ 1 ] Bellman, R. (1953) Stability Theory of Differential Equations. Dover Publications, New York, 166 p.   [ 2 ] Martynyuk, A.A., Lakshmikantham, V. and Leela, S. (1979) Stability of Motion:...