Title
Affine-periodic solutions for higher order differential equations.
Abstract
This paper is a continuous work of Liu et al. (2017, first order) and Xu et al. (2019, second order) for affine-periodic solutions to ordinary differential equations. It is a hard problem to obtain satisfied extremum principles. In this paper, we give several extremum principles (Theorem 2.1 and Lemma 2.2) for affine-periodic problems, especially for the case of higher order systems. By these extremum principles, we partly establish the existence of affine-periodic solutions for higher order ordinary differential equations.
Year
DOI
Venue
2020
10.1016/j.aml.2020.106341
Applied Mathematics Letters
Keywords
DocType
Volume
Affine-periodic solutions,Higher order differential equations,Extremum principle,Lower and upper solutions method,Monotone iterative technique
Journal
105
ISSN
Citations 
PageRank 
0893-9659
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Fei Xu100.68
Xue Yang21510.21