Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-23
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
This paper is concerned with the existence of periodic solutions for the fully second-order ordinary differential equation u′′(t)=ft,ut,u′t, t∈R, where the nonlinearity f:R3→R is continuous and f(t,x,y) is 2π-periodic in t.
Under certain inequality conditions that f(t,x,y) may be superlinear growth on (x,y), an existence result of odd 2π-periodic solutions is obtained via Leray-Schauder fixed point theorem.
American Psychological Association (APA)
Li, Yongxiang& Guo, Lanjun. 2017. Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1176428
Modern Language Association (MLA)
Li, Yongxiang& Guo, Lanjun. Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities. Journal of Function Spaces No. 2017 (2017), pp.1-5.
https://search.emarefa.net/detail/BIM-1176428
American Medical Association (AMA)
Li, Yongxiang& Guo, Lanjun. Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1176428
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176428