Non-Uniform Non-Resonance and Existence of Periodic Solutions of Some Third Order Non-Linear Ordinary Differential Equations

摘要

In a recent paper by Ezeilo and Onyia, two differential equations were studied and the existence and uniqueness of 2 pi -periodic solutions established subject to certain non-resonant conditions. It is shown in the present paper that these existence and uniqueness results are indeed valid, even for more general equations, subject to even weaker non-resonant conditions. 5 refs. (Atomindex citation 17:028977)