Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this paper, we study the existence of periodic solutions to nonlinear fully third-order differential equation x‴+ft,x,x′,x″=0,t∈ℝ≔−∞,∞, where f:ℝ4⟶ℝ is continuous and T-periodic in t.
By using the topological transversality method together with the barrier strip technique, we obtain new existence results of periodic solutions to the above equation without growth restrictions on the nonlinearity.
Meanwhile, as applications, an example is given to demonstrate our results.
American Psychological Association (APA)
Zhang, Yunfei& Pei, Minghe. 2020. Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1185718
Modern Language Association (MLA)
Zhang, Yunfei& Pei, Minghe. Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations. Journal of Function Spaces No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1185718
American Medical Association (AMA)
Zhang, Yunfei& Pei, Minghe. Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1185718
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185718