Existence of rotating-periodic solutions for nonlinear second order vector differential equations

[摘要] In this paper, we establish two existence theorems of rotating-periodic solutions for nonlinear second order vector differential equations via the Leray–Schauder degree theory and the lower and upper solutions method. The concept “rotating-periodicity” is a kind of symmetry, which is a general version of periodicity, anti-periodicity, harmonic-periodicity, and it is also a special kind of quasi-periodicity. We also include several examples to illustrate the validity and applicability of our results.

[学科分类] 电力

[关键词] Rotating-periodic solution;Leray–Schauder degree;Lower and upper solutions