A Note on Bounded Solutions of a Generalized Lienard Type System

Authors

  • Juan E. Nápoles Valdes UNNE, FaCENA, Av. Libertad 5450, Corrientes (3400), Argentina. UTN, FRRE, French 414, Resistencia (3500), Chaco, Argentina
  • Luciano M. Lugo Motta Bittencurt UNNE, FaCENA, Av. Libertad 5450, Corrientes (3400), Argentina.

Keywords:

Boundedness, asymptotic behavior, Liénard equation Type .

Abstract

In this paper we study the boundedness of solutions of some generalized Liénard type system under non usual conditions on evolved functions using the Second Method of Lyapunov.

References

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[6] Hahn, W. Theory and Application of Liapunov´s Direct Method, Prentice-Hall, Englewood Cliffs, New Jersey, 1963.
[7] Yoshizawa, T. Stability theory by Liapunov´s second method, The Mathematical Society of Japan, 1966.
[8] Liénard, A. Étude des oscillations entreteneus, Revue Génerale de l´Électricité 23: 901-912, 946-954 (1928).
[9] Van der Pol, B. On oscillation hysteresis in a triode generator with two degrees of freedom, Phil. Mag (6) 43, 700-719 (1922).
[10] Van der Pol, B. On “relaxation-oscillations”, Philosophical Magazine, 2(11): 978-992, 1926.
[11] Guckenheimer, J. and P. Holmes. Nonlinear ascillations, dynamical systems, and bifurcations of vector fields, volume 42 of Applied Mathematical Sciences. Springer-Verlag, New York, 2002. Revised and corrected reprint of the 1983 original.
[12] Hricisakova, D. Continuability and (non-) oscillatory properties of solutions of generalized Lienard equation, Hiroshima Math. J. 20 (1990), 11-22.

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Published

2016-02-27

How to Cite

Valdes, J. E. N., & Bittencurt, L. M. L. M. (2016). A Note on Bounded Solutions of a Generalized Lienard Type System. American Scientific Research Journal for Engineering, Technology, and Sciences, 17(1), 89–94. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/1155

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