Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations
M. E. Lord (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Variationally asymptotically stable difference systems.”
Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations
On the asymptotic behaviour of the solutions of an n-th order difference equation
J. Popenda (1984)
Annales Polonici Mathematici
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On the asymptotic behaviour of solutions of difference equations
J. Popenda (1988)
Annales Polonici Mathematici
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Asymptotic Solutions of nonlinear difference equations
I. P. van den Berg (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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We study the asymptotics of first-order nonlinear difference equations. In particular we present an asymptotic functional equation for potential asymptotic behaviour, and a theorem stating sufficient conditions for the existence of an actual solution with such asymptotic behaviour.
Asymptotic properties of solutions of second-order difference equations
Jarosław Morchało (2002)
Archivum Mathematicum
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Using the method of variation of constants, discrete inequalities and Tychonoff’s fixed-point theorem we study problem asymptotic equivalence of second order difference equations.
On the asymptotic behavior of solutions of certain third-order nonlinear differential equations.
Tunç, Cemil (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Asymptotic bounds for linear difference systems.
Čermák, Jan (2010)
Advances in Difference Equations [electronic only]
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Asymptotic constancy of solutions of systems of difference equations.
Medina, Rigoberto, Pinto, Manuel (1996)
International Journal of Mathematics and Mathematical Sciences
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A constructive method for solving stabilization problems
Vadim Azhmyakov (2000)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The problem of asymptotic stabilization for a class of differential inclusions is considered. The problem of choosing the Lyapunov functions from the parametric class of polynomials for differential inclusions is reduced to that of searching saddle points of a suitable function. A numerical algorithm is used for this purpose. All the results thus obtained can be extended to cover the discrete systems described by difference inclusions.
Asymptotic expansions for higher-order scalar difference equations.
Agarwal, Ravi P., Pituk, Mihály (2007)
Advances in Difference Equations [electronic only]
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