Periodic solution for ϕ-Laplacian neutral differential equation
This paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows (ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)).$$\begin{array}{} (\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)). \end{array}$$
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-03-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2019-0019 |
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doaj-ab01ed3d63d54e0dbdce896b1f9f51322021-09-06T19:20:11ZengDe GruyterOpen Mathematics2391-54552019-03-0117117219010.1515/math-2019-0019math-2019-0019Periodic solution for ϕ-Laplacian neutral differential equationYao Shaowen0Cheng Zhibo1School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, ChinaThis paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows (ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)).$$\begin{array}{} (\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)). \end{array}$$https://doi.org/10.1515/math-2019-0019neutral operatorϕ-laplacianperiodic solutionextension of mawhin’s continuation theorem34c2534k14 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yao Shaowen Cheng Zhibo |
| spellingShingle |
Yao Shaowen Cheng Zhibo Periodic solution for ϕ-Laplacian neutral differential equation Open Mathematics neutral operator ϕ-laplacian periodic solution extension of mawhin’s continuation theorem 34c25 34k14 |
| author_facet |
Yao Shaowen Cheng Zhibo |
| author_sort |
Yao Shaowen |
| title |
Periodic solution for ϕ-Laplacian neutral differential equation |
| title_short |
Periodic solution for ϕ-Laplacian neutral differential equation |
| title_full |
Periodic solution for ϕ-Laplacian neutral differential equation |
| title_fullStr |
Periodic solution for ϕ-Laplacian neutral differential equation |
| title_full_unstemmed |
Periodic solution for ϕ-Laplacian neutral differential equation |
| title_sort |
periodic solution for ϕ-laplacian neutral differential equation |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2019-03-01 |
| description |
This paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows
(ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)).$$\begin{array}{}
(\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)).
\end{array}$$ |
| topic |
neutral operator ϕ-laplacian periodic solution extension of mawhin’s continuation theorem 34c25 34k14 |
| url |
https://doi.org/10.1515/math-2019-0019 |
| work_keys_str_mv |
AT yaoshaowen periodicsolutionforphlaplacianneutraldifferentialequation AT chengzhibo periodicsolutionforphlaplacianneutraldifferentialequation |
| _version_ |
1717777096716058624 |