Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
Abstract In this paper, using the topological degree theory, we establish two existence theorems for nontrivial solutions for boundary value problems of a fourth order difference equation with a sign-changing nonlinearity.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1840-3 |
| _version_ | 1818946669073399808 |
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| author | Keyu Zhang Donal O’Regan Zhengqing Fu |
| author_facet | Keyu Zhang Donal O’Regan Zhengqing Fu |
| author_sort | Keyu Zhang |
| collection | DOAJ |
| description | Abstract In this paper, using the topological degree theory, we establish two existence theorems for nontrivial solutions for boundary value problems of a fourth order difference equation with a sign-changing nonlinearity. |
| first_indexed | 2024-12-20T08:18:41Z |
| format | Article |
| id | doaj.art-30896ad945744bd7b0765609ec54c8ad |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-20T08:18:41Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-30896ad945744bd7b0765609ec54c8ad2022-12-21T19:47:03ZengSpringerOpenAdvances in Difference Equations1687-18472018-10-012018111310.1186/s13662-018-1840-3Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearityKeyu Zhang0Donal O’Regan1Zhengqing Fu2School of Mathematics, Qilu Normal UniversitySchool of Mathematics, Statistics and Applied Mathematics, National University of IrelandCollege of Mathematics and System Sciences, Shandong University of Science and TechnologyAbstract In this paper, using the topological degree theory, we establish two existence theorems for nontrivial solutions for boundary value problems of a fourth order difference equation with a sign-changing nonlinearity.http://link.springer.com/article/10.1186/s13662-018-1840-3Difference equations boundary value problemsSign-changing nonlinearityNontrivial solutionsTopological degree theory |
| spellingShingle | Keyu Zhang Donal O’Regan Zhengqing Fu Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity Advances in Difference Equations Difference equations boundary value problems Sign-changing nonlinearity Nontrivial solutions Topological degree theory |
| title | Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity |
| title_full | Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity |
| title_fullStr | Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity |
| title_full_unstemmed | Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity |
| title_short | Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity |
| title_sort | nontrivial solutions for boundary value problems of a fourth order difference equation with sign changing nonlinearity |
| topic | Difference equations boundary value problems Sign-changing nonlinearity Nontrivial solutions Topological degree theory |
| url | http://link.springer.com/article/10.1186/s13662-018-1840-3 |
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