Positive periodic solutions for singular high-order neutral functional differential equations

Rok, strany: 2018, 379 - 396

In this paper, we establish new results on the existence of positive periodic solutions for the following high-order neutral functional differential equation (NFDE)

$$(x(t)-cx(t-σ))^(2m)+f(x(t)) x'(t)+g(t,x(t-δ))=e(t).$$

The interesting thing is that $g$ has a strong singularity at $x=0$ and satisfies a small force condition at $x=∞$, which is different from the corresponding ones known in the literature. Two examples are given to illustrate the effectiveness of our results.

ISO 690:

Kong, F., Luo, Z., Lu, S. 2018. Positive periodic solutions for singular high-order neutral functional differential equations. In Mathematica Slovaca, vol. 68, no.2, pp. 379-396. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0109

APA:

Kong, F., Luo, Z., Lu, S. (2018). Positive periodic solutions for singular high-order neutral functional differential equations. Mathematica Slovaca, 68(2), 379-396. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0109