Using two successive reductions: B-equivalence of the system on a variable time scale to a system on a time scale and a reduction to an impulsive differential equation and by Leggett-Williams fixed point theorem, we investigate the existence of three positive periodic solutions to the nonlinear neutral functional differential equation on variable time scales with a transition condition between two consecutive parts of the scale , ,, , where and are parameters, is a variable time scale with -property, , and are -periodic functions of , uniformly with respect to .
"Three Positive Periodic Solutions to Nonlinear Neutral Functional Differential Equations with Parameters on Variable Time Scales." J. Appl. Math. 2012 1 - 28, 2012. https://doi.org/10.1155/2012/516476