Boundedness and Asymptotic Behaviour of Solutions of a Second Order Nonlinear Differential Equation

Maher Nazmi Qarawani

Abstract


This paper considers asymptotic behaviour of solutions of a nonlinear differential equation of second order where the coefficient of nonlinearity is a bounded function for arbitrarily large values of $x$ in $\mathbb{R}$. Here we obtained sufficient conditions for boundedness, convergence of
solutions to zero as $x\rightarrow\infty$, and unboundedness of solutions.


Full Text: PDF DOI: 10.5539/jmr.v4n3p121

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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