Infinitely Many Solutions for a Generalized Periodic Boundary Value Problem without the Evenness Assumption
In this paper, we investigate infinitely many solutions for the generalized periodic boundary value problem −x″−B0tx+B1tx=λ∇xVt,xa.e.t∈0,1,x1=Mx0,x′1=Nx′0 under the potential function Vt,x without the evenness assumption and obtain two new existence results by the multiple critical point theorem. Me...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8406719 |
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| _version_ | 1832554572053217280 |
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| author | Xiaodong Gu Mingliang Song |
| author_facet | Xiaodong Gu Mingliang Song |
| author_sort | Xiaodong Gu |
| collection | DOAJ |
| description | In this paper, we investigate infinitely many solutions for the generalized periodic boundary value problem −x″−B0tx+B1tx=λ∇xVt,xa.e.t∈0,1,x1=Mx0,x′1=Nx′0 under the potential function Vt,x without the evenness assumption and obtain two new existence results by the multiple critical point theorem. Meanwhile, we give two corollaries for the periodic solutions of second-order Hamiltonian systems and an example that illustrates our results. |
| format | Article |
| id | doaj-art-6fd25374c2a14f68b5def77940e05073 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6fd25374c2a14f68b5def77940e050732025-02-03T05:51:14ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/84067198406719Infinitely Many Solutions for a Generalized Periodic Boundary Value Problem without the Evenness AssumptionXiaodong Gu0Mingliang Song1Mathematics and Information Technology School, Jiangsu Second Normal University, Nanjing 210013, ChinaMathematics and Information Technology School, Jiangsu Second Normal University, Nanjing 210013, ChinaIn this paper, we investigate infinitely many solutions for the generalized periodic boundary value problem −x″−B0tx+B1tx=λ∇xVt,xa.e.t∈0,1,x1=Mx0,x′1=Nx′0 under the potential function Vt,x without the evenness assumption and obtain two new existence results by the multiple critical point theorem. Meanwhile, we give two corollaries for the periodic solutions of second-order Hamiltonian systems and an example that illustrates our results.http://dx.doi.org/10.1155/2020/8406719 |
| spellingShingle | Xiaodong Gu Mingliang Song Infinitely Many Solutions for a Generalized Periodic Boundary Value Problem without the Evenness Assumption Journal of Function Spaces |
| title | Infinitely Many Solutions for a Generalized Periodic Boundary Value Problem without the Evenness Assumption |
| title_full | Infinitely Many Solutions for a Generalized Periodic Boundary Value Problem without the Evenness Assumption |
| title_fullStr | Infinitely Many Solutions for a Generalized Periodic Boundary Value Problem without the Evenness Assumption |
| title_full_unstemmed | Infinitely Many Solutions for a Generalized Periodic Boundary Value Problem without the Evenness Assumption |
| title_short | Infinitely Many Solutions for a Generalized Periodic Boundary Value Problem without the Evenness Assumption |
| title_sort | infinitely many solutions for a generalized periodic boundary value problem without the evenness assumption |
| url | http://dx.doi.org/10.1155/2020/8406719 |
| work_keys_str_mv | AT xiaodonggu infinitelymanysolutionsforageneralizedperiodicboundaryvalueproblemwithouttheevennessassumption AT mingliangsong infinitelymanysolutionsforageneralizedperiodicboundaryvalueproblemwithouttheevennessassumption |