On the oscillation of impulsively damped halflinear oscillators.
Conditions are given for a class of nonlinear ordinary differential equations , , which includes the linear equation to possess solutions with prescribed oblique asymptote that have an oscillatory pseudo-wronskian .
For a family of maps , d ∈ [2,∞], p ∈ [0,1]. we analyze the speed of convergence (including constants) to the globally attracting neutral fixed point p = 0. The study is motivated by a problem in the optimization of routing. The aim of this paper is twofold: (1) to extend the usage of dynamical systems to unexplored areas of algorithms and (2) to provide a toolbox for a precise analysis of the iterates near a non-degenerate neutral fixed point.
Our aim in this paper is to present sufficient conditions under which all solutions of (1.1) tend to zero as .