4.3 Article

EXISTENCE OF ROTATING-PERIODIC SOLUTIONS FOR NONLINEAR SYSTEMS VIA UPPER AND LOWER SOLUTIONS

Journal

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Volume 47, Issue 7, Pages 2423-2438

Publisher

ROCKY MT MATH CONSORTIUM
DOI: 10.1216/RmJ-2017-47-7-2423

Keywords

Affine (rotating)-periodic solutions; upper and lower solutions; Massera's criterion; topological degree

Categories

Funding

  1. National Basic Research Program of China [2013CB834100]
  2. NSF of China [11571065, 11171132, 11201173]

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This paper concerns the existence of affine-periodic solutions for nonlinear systems with certain affine-periodic symmetry. The existence result is actually proved based on the existence of upper and lower solutions and the conditions on them. Some applications are also given.

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