Rocky Mountain Journal of Mathematics

Affine-periodic solutions for nonlinear differential equations

Chuanbiao Wang, Xue Yang, and Yong Li

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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.

Article information

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

Dates
First available in Project Euclid: 7 December 2016

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1481101233

Digital Object Identifier
doi:10.1216/RMJ-2016-46-5-1717

Mathematical Reviews number (MathSciNet)
MR3580808

Zentralblatt MATH identifier
1370.34067

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

Keywords
Affine-periodic solution Lyapunov function topological degree invariant region principle

Citation

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. https://projecteuclid.org/euclid.rmjm/1481101233


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