Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/4247365 |
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| _version_ | 1832564144160636928 |
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| author | Yongxiang Li Lanjun Guo |
| author_facet | Yongxiang Li Lanjun Guo |
| author_sort | Yongxiang Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c2c2bc1fa82248f9a6df90c8b8b4b8bb |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c2c2bc1fa82248f9a6df90c8b8b4b8bb2025-02-03T01:11:44ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/42473654247365Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear NonlinearitiesYongxiang Li0Lanjun Guo1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaThis 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.http://dx.doi.org/10.1155/2017/4247365 |
| spellingShingle | Yongxiang Li Lanjun Guo Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities Journal of Function Spaces |
| title | Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities |
| title_full | Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities |
| title_fullStr | Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities |
| title_full_unstemmed | Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities |
| title_short | Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities |
| title_sort | odd periodic solutions of fully second order ordinary differential equations with superlinear nonlinearities |
| url | http://dx.doi.org/10.1155/2017/4247365 |
| work_keys_str_mv | AT yongxiangli oddperiodicsolutionsoffullysecondorderordinarydifferentialequationswithsuperlinearnonlinearities AT lanjunguo oddperiodicsolutionsoffullysecondorderordinarydifferentialequationswithsuperlinearnonlinearities |