| Title:
|
Positive periodic solutions of a neutral functional differential equation with multiple delays (English) |
| Author:
|
Li, Yongxiang |
| Author:
|
Liu, Ailan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
143 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
11-24 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with the existence of positive $\omega $-periodic solutions for the neutral functional differential equation with multiple delays $$(u(t)-cu(t-\delta ))'+a(t) u(t)=f(t, u(t-\tau _1), \cdots , u(t-\tau _n)).$$ The essential inequality conditions on the existence of positive periodic solutions are obtained. These inequality conditions concern with the relations of $c$ and the coefficient function $a(t)$, and the nonlinearity $f(t, x_1,\cdots , x_n)$. Our discussion is based on the perturbation method of positive operator and fixed point index theory in cones. (English) |
| Keyword:
|
neutral delay differential equation |
| Keyword:
|
positive periodic solution |
| Keyword:
|
cone |
| Keyword:
|
fixed point index |
| MSC:
|
34K13 |
| MSC:
|
34K40 |
| MSC:
|
47H11 |
| idZBL:
|
Zbl 06861589 |
| idMR:
|
MR3778047 |
| DOI:
|
10.21136/MB.2017.0050-16 |
| . |
| Date available:
|
2018-03-19T10:32:52Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147139 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
