×

Positive periodic solutions for first-order neutral functional differential equations with periodic delays. (English) Zbl 1245.34073

Summary: Two classes of first-order neutral functional differential equations with periodic delays are considered. Some results on the existence of positive periodic solutions for the equations are obtained by using Krasnoselskii’s fixed point theorem. Four examples are included to illustrate our results.

MSC:

34K13 Periodic solutions to functional-differential equations
34K40 Neutral functional-differential equations
47N20 Applications of operator theory to differential and integral equations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] S. Kang, B. Shi, and G. Q. Wang, “Existence of maximal and minimal periodic solutions for first-order functional differential equations,” Applied Mathematics Letters, vol. 23, no. 1, pp. 22-25, 2010. · Zbl 1186.34092 · doi:10.1016/j.aml.2009.08.004
[2] S. Kang and G. Zhang, “Existence of nontrivial periodic solutions for first order functional differential equations,” Applied Mathematics Letters, vol. 18, no. 1, pp. 101-107, 2005. · Zbl 1075.34064 · doi:10.1016/j.aml.2004.07.018
[3] Y. Luo, W. Wang, and J. H. Shen, “Existence of positive periodic solutions for two kinds of neutral functional differential equations,” Applied Mathematics Letters, vol. 21, no. 6, pp. 581-587, 2008. · Zbl 1149.34040 · doi:10.1016/j.aml.2007.07.009
[4] E. Serra, “Periodic solutions for some nonlinear differential equations of neutral type,” Nonlinear Analysis, vol. 17, no. 2, pp. 139-151, 1991. · Zbl 0735.34066 · doi:10.1016/0362-546X(91)90217-O
[5] A. Wan, D. Q. Jiang, and X. J. Xu, “A new existence theory for positive periodic solutions to functional differential equations,” Computers & Mathematics with Applications, vol. 47, no. 8-9, pp. 1257-1262, 2004. · Zbl 1073.34082 · doi:10.1016/S0898-1221(04)90120-4
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.