Abstract
In this paper the initial value problem and global properties of solutions are studied for the scalar second order ODE: (|u′|lu′)′+c|u′|αu′+d|u|βu=0, where α,β,l,c,d are positive constants. In particular, existence, uniqueness and regularity as well as optimal decay rates of solutions to 0 are obtained depending on the various parameters, and the oscillatory or non-oscillatory behavior is elucidated.
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