Global behavior of the solutions to a class of nonlinear, singular second order ODE - Sorbonne Université Access content directly
Journal Articles Nonlinear Analysis: Theory, Methods and Applications Year : 2014

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: (vertical bar u'vertical bar(l)u')' + c vertical bar u'vertical bar(alpha)u' + d vertical bar u vertical bar(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.

Dates and versions

hal-01448265 , version 1 (27-01-2017)

Identifiers

Cite

Mama Abdelli, Alain Haraux. Global behavior of the solutions to a class of nonlinear, singular second order ODE. Nonlinear Analysis: Theory, Methods and Applications, 2014, 96, pp.18-37. ⟨10.1016/j.na.2013.10.023⟩. ⟨hal-01448265⟩
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