Abstract
The existence of affine-periodic solutions is studied. These types of solutions may be periodic, harmonic or even quasi-periodic. Mainly, via the topological degree theory, a general existence theorem is proved, which asserts the existence of affine-periodic solutions, extending some classical results. The theorem is applied to establish the Lyapunov function type theorem and the invariant region principle relative to affine-periodic solutions.
Citation
Chuanbiao Wang. Xue Yang. Yong Li. "Affine-periodic solutions for nonlinear differential equations." Rocky Mountain J. Math. 46 (5) 1717 - 1737, 2016. https://doi.org/10.1216/RMJ-2016-46-5-1717
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