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Investigation of nonlinear nonautonomous systems by direct Lyapunov method - MaRDI portal

Investigation of nonlinear nonautonomous systems by direct Lyapunov method (Q1369639)

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scientific article; zbMATH DE number 1076730
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Investigation of nonlinear nonautonomous systems by direct Lyapunov method
scientific article; zbMATH DE number 1076730

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    Investigation of nonlinear nonautonomous systems by direct Lyapunov method (English)
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    15 December 1997
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    The paper deals with the boundedness of solutions of \[ \dot x= X(x,t) \] obtained using Lyapunov functions that are radially unbounded and whose derivative changes the sign: it is strictly positive on some bounded set \(K\) and nonpositive outside \(K\).
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    nonlinear nonautonomous systems
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    Lyapunov functions
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