The second-order differential equation with general power-law nonlinearity with continuouspotential bounded by positive constants is considered. The behavior of solutions to the equationis studied with respect to the values of nonlinearity. The necessary and sufficient conditions for theexistence of a finite right-side boundary of the domain or horizontal asymptote are obtained. Thedistance to the right-side boundary of the domain and the limits of solutions with horizontal asymptotesnear their boundaries are estimated. The continuous dependence of the right-side boundary ofthe domain and horizontal asymptotes on initial data is proved.
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