Boundedness and oscillatoriness of solutions of the equation y" + a(x)g(y, y') + b(x)f(y)h(y') = 0
Pavel Šoltés (1973)
Annales Polonici Mathematici
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Displaying similar documents to “A simple boundedness theorem for a Liénard equation with damping”
Boundedness and oscillatoriness of solutions of the equation y" + a(x)g(y, y') + b(x)f(y)h(y') = 0
Boundedness theorems for some second order differential equations I
Mary L. Cartwright, H. P. F. Swinnerton-Dyer (1974)
Annales Polonici Mathematici
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Pullback incremental attraction
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.
Stability and ultimate boundedness of solutions to certain third-order differential equations.
Ademola, Timothy Adeleke, Arawomo, Peter Olutola (2010)
Applied Mathematics E-Notes [electronic only]
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Bounded solutions of systems of differential equations with impulses
S. G. Hristova, D. D. Bainov (1988)
Annales Polonici Mathematici
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Common Lyapunov function based on Kullback-Leibler divergence for a switched nonlinear system.
Al-Ola, Omar M.Abou, Fujimoto, Ken'ichi, Yoshinaga, Tetsuya (2011)
Mathematical Problems in Engineering
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Boundedness and asymptotic stability in the large of solutions of an ordinary differential system .
Venkatesulu, M., Srinivasu, P.D.N. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Ultimate boundedness of some third order ordinary differential equations
Anthony Uyi Afuwape, Mathew Omonigho Omeike (2012)
Mathematica Bohemica
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We prove the ultimate boundedness of solutions of some third order nonlinear ordinary differential equations using the Lyapunov method. The results obtained generalize earlier results of Ezeilo, Tejumola, Reissig, Tunç and others. The Lyapunov function used does not involve the use of signum functions as used by others.
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].