ABSTRACT
This paper establishes the precise asymptotic behaviour, as time t tends to infinity, for nontrivial, decaying solutions of genuinely nonlinear systems of ordinary differential equations. The lowest order term in these systems, when the spatial variables are small, is not linear, but rather positively homogeneous of a degree greater than one. We prove that the solution behaves like , as , for a nonzero vector ξ and an explicit number p>0.
Disclosure statement
No potential conflict of interest was reported by the author(s).