| Title:
|
Existence of positive periodic solutions of higher-order functional difference equations (English) |
| Author:
|
Liu, Xin-Ge |
| Author:
|
Tang, Mei-Lan |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
25-36 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result. (English) |
| Keyword:
|
positive periodic solution |
| Keyword:
|
existence of positive periodic solution |
| Keyword:
|
fixed-point theorem |
| Keyword:
|
difference equation |
| MSC:
|
34K13 |
| MSC:
|
39A23 |
| MSC:
|
39A70 |
| idZBL:
|
Zbl 06346370 |
| idMR:
|
MR3164574 |
| DOI:
|
10.1007/s10492-014-0039-5 |
| . |
| Date available:
|
2014-01-28T13:54:12Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143596 |
| . |
| Reference:
|
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| Reference:
|
[2] Deimling, K.: Nonlinear Functional Analysis.Springer Berlin (1985). Zbl 0559.47040, MR 0787404 |
| Reference:
|
[3] Fan, M., Wang, K.: Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system.Math. Comput. Modelling 35 (2002), 951-961. Zbl 1050.39022, MR 1910673, 10.1016/S0895-7177(02)00062-6 |
| Reference:
|
[4] Guo, D., Lakshmikantham, V.: Nonlinear Problems in Abstract Cones.Notes and Reports in Mathematics in Science and Engineering 5 Academic Press, Boston (1988). Zbl 0661.47045, MR 0959889 |
| Reference:
|
[5] Li, Y., Lu, L.: Positive periodic solutions of higher-dimensional nonlinear functional difference equations.J. Math. Anal. Appl. 309 (2005), 284-293. Zbl 1079.39009, MR 2154042, 10.1016/j.jmaa.2005.01.038 |
| Reference:
|
[6] Ma, R., Ma, H.: Existence of sign-changing periodic solutions of second order difference equations.Appl. Math. Comput. 203 (2008), 463-470. Zbl 1186.39018, MR 2458964, 10.1016/j.amc.2008.05.125 |
| Reference:
|
[7] Raffoul, Y. N.: Positive periodic solutions of nonlinear functional difference equations.Electron. J. Differ. Equ. (electronic only) 2002 (2002), Paper No. 55. Zbl 1007.39005, MR 1911922 |
| Reference:
|
[8] Wang, W., Chen, X.: Positive periodic solutions for higher order functional difference equations.Appl. Math. Lett. 23 (2010), 1468-1472. Zbl 1205.39016, MR 2718532, 10.1016/j.aml.2010.08.013 |
| Reference:
|
[9] Zhang, R. Y., Wang, Z. C., Chen, Y., Wu, J.: Periodic solutions of a single species discrete population model with periodic harvest/stock.Comput. Math. Appl. 39 (2000), 77-90. Zbl 0970.92019, MR 1729420, 10.1016/S0898-1221(99)00315-6 |
| Reference:
|
[10] Zhu, L., Li, Y.: Positive periodic solutions of higher-dimensional functional difference equations with a parameter.J. Math. Anal. Appl. 290 (2004), 654-664. Zbl 1042.39005, MR 2033049, 10.1016/j.jmaa.2003.10.014 |
| . |
