On the Boundedness of Some Nonlinear Differential Equation of Second Order


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Authors

  • Paulo M. Guzman FaCENA, UNNE, Av. Libertad 5540, (3400) Corrientes, Argentina
  • Juan E. Napoles Valdes UNNE, FaCENA, Av. Libertad 5450, (3400) Corrientes, Argentina and UTN, FRRE, French 414, (3500) Resistencia, Argentina
  • Luciano M. Lugo FaCENA, UNNE, Av. Libertad 5540, (3400) Corrientes, Argentina

Keywords:

Lyapunov's Second Method, boundedness, second order nonlinear equation

Abstract

In this paper we study the boundedness of the solutions of some nonlinear differential equation using as a key tool the Second Lyapunov method, i.e. find sufficient conditions under which the solutions of this equation are bounded. Various particular cases and methodological remarks are included at the end of paper.

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Published

30-12-2015

How to Cite

Paulo M. Guzman, Juan E. Napoles Valdes, & Luciano M. Lugo. (2015). On the Boundedness of Some Nonlinear Differential Equation of Second Order. International Journal of Mathematics And Its Applications, 3(4 - E), 23–31. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/522

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Section

Research Article