Global behavior of the Solutions to a Class of Nonlinear, Singular Second Order ODE. - Sorbonne Université Access content directly
Reports Year : 2013

Global behavior of the Solutions to a Class of Nonlinear, Singular Second Order ODE.

Abstract

In this paper the initial value problem and global properties of solutions are studied for the scalar second order ODE: $ (|u'|^{l}u')' + c|u'|^{\alpha}u' + d|u|^\beta u=0$, where $\alpha,\beta,l,c, d$ 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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Dates and versions

hal-00846824 , version 1 (21-07-2013)

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Mama Abdelli, Alain Haraux. Global behavior of the Solutions to a Class of Nonlinear, Singular Second Order ODE.. 2013. ⟨hal-00846824⟩
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