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On the asymptotic behaviors of solutions to nonlinear differential equations of second order

Cemil TuncTimur Ayhan — 2015

Commentationes Mathematicae

We study the asymptotic behavior of solutions to a nonlinear differential equation of the second order whose coefficient of nonlinearity is a bounded function for arbitrarily large values of x in R . We obtain certain sufficient conditions which guarantee boundedness of solutions, their convergence to zero as x and their unboundedness.

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