Critical case of multiple pairs of pure imaginary roots of a nonautonomous essentially nonlinear th-order equation.
Vitrichenko, I. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “Critical case of multiple pairs of pure imaginary roots of a nonautonomous essentially nonlinear differential system.”
Critical case of multiple pairs of pure imaginary roots of a nonautonomous essentially nonlinear th-order equation.
Further results on global stability of solutions of certain third-order nonlinear differential equations
Mathew Omonigho Omeike (2008)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Sufficient conditions are established for the global stability of solutions of certain third-order nonlinear differential equations. Our result improves on Tunc’s [10].
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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On the nonlinear theory of beams with open thin sections
Placido Cicala (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Analysis of beam with thin open sections as cylindrical shells evidences restrictions of the Wagner-Vlasof theory: these mainly concern the fulfillment of end conditions. For the case of large deflections, the resultant equations from asymptotic analysis are presented. Their application to buckling under pure flexure shows various novel aspects. By a simple direct approach, investigation is pursued beyond the critical state: the buckled configuration turns out to be stable even for laxer...
New criterion for asymptotic stability of time-varying dynamical systems
Taoufik Ghrissi, Mohamed Ali Hammami, Mekki Hammi, Mohamed Mabrouk (2017)
Kybernetika
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In this paper, we establish some new sufficient conditions for uniform global asymptotic stability for certain classes of nonlinear systems. Lyapunov approach is applied to study exponential stability and stabilization of time-varying systems. Sufficient conditions are obtained based on new nonlinear differential inequalities. Moreover, some examples are treated and an application to control systems is given.
On the nonlifiear theory of beams with open thin sections
Placido Cicala (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Analysis of beam with thin open sections as cylindrical shells evidences restrictions of the Wagner-Vlasof theory: these mainly concern the fulfillment of end conditions. For the case of large deflections, the resultant equations from asymptotic analysis are presented. Their application to buckling under pure flexure shows various novel aspects. By a simple direct approach, investigation is pursued beyond the critical state: the buckled configuration turns out to be stable even for laxer...
Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems.
Ignat'ev, A.O. (2008)
Sibirskij Matematicheskij Zhurnal
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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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Unconditional nonlinear stability in a polarized dielectric liquid
Giuseppe Mulone, Salvatore Rionero, Brian Straughan (1996)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We derive a very sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current (AC). It is particularly important to note that the size of the initial energy in which we establish global nonlinear stability is not restricted whatsoever, and the Rayleigh-Roberts number boundary coincides with that found by a formal linear instability analysis.
New result on the ultimate boundedness of solutions of certain third-order vector differential equations
Mathew Omonigho Omeike, A. U. Afuwape (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Sufficient conditions are established for ultimate boundedness of solutions of certain nonlinear vector differential equations of third-order. Our result improves on Tunc’s [C. Tunc, On the stability and boundedness of solutions of nonlinear vector differential equations of third order].