| Title:
|
The existence of periodic solutions for a class of nonlinear functional differential equations (English) |
| Author:
|
Liu, Jin-Zhi |
| Author:
|
Jiang, Zhi-Yuan |
| Author:
|
Wu, Ai-Xiang |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2008 |
| Pages:
|
97-103 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results. (English) |
| Keyword:
|
nonlinear functional differential equation |
| Keyword:
|
differential equation with deviating arguments |
| Keyword:
|
periodic solutions |
| Keyword:
|
coincidence degree theory |
| MSC:
|
34B15 |
| MSC:
|
34K13 |
| idZBL:
|
Zbl 1199.34351 |
| idMR:
|
MR2399900 |
| DOI:
|
10.1007/s10492-008-0014-0 |
| . |
| Date available:
|
2009-09-22T18:32:22Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134700 |
| . |
| Reference:
|
[1] S. W. Ma, J. S. Yu, Z. C. Wang: On periodic solutions of functional differential equations with periodic disturbation.Sci. Bull. 43 (1998), 1386–1389. |
| Reference:
|
[2] R. Hakl, A. Lomtatidze, B. Půža: On periodic solutions of first order linear functional differential equations.Nonlinear Anal., Theory Methods Appl. 49 (2002), 929–945. MR 1895537, 10.1016/S0362-546X(01)00147-X |
| Reference:
|
[3] R. E. Fennell: Periodic solutions of functional differential equations.J. Math. Anal. Appl. 39 (1972), 198–201. Zbl 0243.34126 |
| Reference:
|
[4] L. Hatvani, T. Krisztin: On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations.J. Differ. Equations 97 (1992), 1–15. 10.1016/0022-0396(92)90080-7 |
| Reference:
|
[5] S. Murakami: Linear periodic functional differential equations with infinite delay.Funkc. Ekvacioj 29 (1986), 335–361. Zbl 0616.34067 |
| Reference:
|
[6] M. R. Zhang: Periodic solutions of linear and quasilinear neutral functional differential equations.J. Math. Anal. Appl. 189 (1995), 378–392. Zbl 0821.34070, 10.1006/jmaa.1995.1025 |
| Reference:
|
[7] R. E. Gaines, J. L. Mawhin: Coincidence degree and nonlinear differential equations. Lecture Notes in Mathematics Vol. 568.Springer, Berlin-Heidelberg-New York, 1977. MR 0637067 |
| . |
