Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
Tom 65 / 1997
Annales Polonici Mathematici 65 (1997), 283-302
DOI: 10.4064/ap-65-3-283-302
Streszczenie
A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.