Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference Equations
In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth-order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones. We also provide examples and numeric...
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/2982321 |
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| _version_ | 1850029327281815552 |
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| author | Dan Li Yuhua Long |
| author_facet | Dan Li Yuhua Long |
| author_sort | Dan Li |
| collection | DOAJ |
| description | In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth-order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones. We also provide examples and numerical simulations to illustrate applications of our main results. |
| format | Article |
| id | doaj-art-9bf8ca48512445c9a29e4fe4b00fe9ab |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9bf8ca48512445c9a29e4fe4b00fe9ab2025-08-20T02:59:32ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/2982321Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference EquationsDan Li0Yuhua Long1School of Mathematics and Information ScienceSchool of Mathematics and Information ScienceIn this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth-order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones. We also provide examples and numerical simulations to illustrate applications of our main results.http://dx.doi.org/10.1155/jom/2982321 |
| spellingShingle | Dan Li Yuhua Long Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference Equations Journal of Mathematics |
| title | Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference Equations |
| title_full | Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference Equations |
| title_fullStr | Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference Equations |
| title_full_unstemmed | Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference Equations |
| title_short | Existence and Nonexistence of Periodic Solutions for a Class of Fourth-Order Partial Difference Equations |
| title_sort | existence and nonexistence of periodic solutions for a class of fourth order partial difference equations |
| url | http://dx.doi.org/10.1155/jom/2982321 |
| work_keys_str_mv | AT danli existenceandnonexistenceofperiodicsolutionsforaclassoffourthorderpartialdifferenceequations AT yuhualong existenceandnonexistenceofperiodicsolutionsforaclassoffourthorderpartialdifferenceequations |