Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type
Abstract In this paper, we consider a kind of p-Laplacian neutral Rayleigh equation with singularity of attractive type, (ϕp(u(t)−cu(t−δ))′)′+f(t,u′(t))+g(t,u(t))=e(t). $$\bigl(\phi_{p} \bigl(u(t)-cu(t-\delta) \bigr)' \bigr)'+f \bigl(t,u'(t) \bigr)+g \bigl(t, u(t) \bigr)=e(t). $$ By a...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1654-6 |
| _version_ | 1811277233499668480 |
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| author | Yun Xin Hongmin Liu Zhibo Cheng |
| author_facet | Yun Xin Hongmin Liu Zhibo Cheng |
| author_sort | Yun Xin |
| collection | DOAJ |
| description | Abstract In this paper, we consider a kind of p-Laplacian neutral Rayleigh equation with singularity of attractive type, (ϕp(u(t)−cu(t−δ))′)′+f(t,u′(t))+g(t,u(t))=e(t). $$\bigl(\phi_{p} \bigl(u(t)-cu(t-\delta) \bigr)' \bigr)'+f \bigl(t,u'(t) \bigr)+g \bigl(t, u(t) \bigr)=e(t). $$ By applications of an extension of Mawhin’s continuation theorem, sufficient conditions for the existence of periodic solution are established. |
| first_indexed | 2024-04-13T00:13:12Z |
| format | Article |
| id | doaj.art-11874efcee744d98b80ee3634a42d32a |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T00:13:12Z |
| publishDate | 2018-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-11874efcee744d98b80ee3634a42d32a2022-12-22T03:11:01ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-03-012018111110.1186/s13660-018-1654-6Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive typeYun Xin0Hongmin Liu1Zhibo Cheng2College of Computer Science and Technology, Henan Polytechnic UniversityCollege of Computer Science and Technology, Henan Polytechnic UniversitySchool of Mathematics and Information Science, Henan Polytechnic UniversityAbstract In this paper, we consider a kind of p-Laplacian neutral Rayleigh equation with singularity of attractive type, (ϕp(u(t)−cu(t−δ))′)′+f(t,u′(t))+g(t,u(t))=e(t). $$\bigl(\phi_{p} \bigl(u(t)-cu(t-\delta) \bigr)' \bigr)'+f \bigl(t,u'(t) \bigr)+g \bigl(t, u(t) \bigr)=e(t). $$ By applications of an extension of Mawhin’s continuation theorem, sufficient conditions for the existence of periodic solution are established.http://link.springer.com/article/10.1186/s13660-018-1654-6Neutral operatorp-LaplacianPeriodic solutionRayleigh equationSingularity of attractive type |
| spellingShingle | Yun Xin Hongmin Liu Zhibo Cheng Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type Journal of Inequalities and Applications Neutral operator p-Laplacian Periodic solution Rayleigh equation Singularity of attractive type |
| title | Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type |
| title_full | Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type |
| title_fullStr | Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type |
| title_full_unstemmed | Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type |
| title_short | Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type |
| title_sort | positive periodic solution for p laplacian neutral rayleigh equation with singularity of attractive type |
| topic | Neutral operator p-Laplacian Periodic solution Rayleigh equation Singularity of attractive type |
| url | http://link.springer.com/article/10.1186/s13660-018-1654-6 |
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