Rocky Mountain Journal of Mathematics

Affine-periodic solutions for nonlinear differential equations

Chuanbiao Wang, Xue Yang, and Yong Li

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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.

Article information

Rocky Mountain J. Math., Volume 46, Number 5 (2016), 1717-1737.

First available in Project Euclid: 7 December 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34C25: Periodic solutions 34C27: Almost and pseudo-almost periodic solutions 47H11: Degree theory [See also 55M25, 58C30]

Affine-periodic solution Lyapunov function topological degree invariant region principle


Wang, Chuanbiao; Yang, Xue; Li, Yong. Affine-periodic solutions for nonlinear differential equations. Rocky Mountain J. Math. 46 (2016), no. 5, 1717--1737. doi:10.1216/RMJ-2016-46-5-1717.

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