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Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations

Wantong Li — 1997

Annales Polonici Mathematici

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.

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