New results on the existence of positive periodic solutions forsecond-order nonlinear neutral differential equations with mixed delays
DOI:
https://doi.org/10.2298/FIL2609367BKeywords:
Fixed point theorem, Mixed delays, Green’s function, Positive periodic solutions, Second-order delay differential equations, NeutralAbstract
The present paper is devoted to study second-order neutral differential equations with variable coefficients and mixed delays. By using the theory of fixed point index in cones as well as some properties of a suitable Green function, several sufficient conditions for the existence of one and twin positive periodic solutions are obtained. Our results are a further expansion of previous research results of Khemis et al. [13]. Finally, two examples are exhibited to show the efficiency and application of our findings which are completely new and enrich the existing literature.
