Existence of periodic or nonnegative periodic solutions for totally nonlinear neutral differential equations with infinite delay
DOI:
https://doi.org/10.22199/issn.0717-6279-5208Keywords:
Krasnoselskiǐ-Burton’s fixed point, large contraction, periodic solutions, nonnegative periodic solutions, infinite delayAbstract
In this work, we investigate the existence of periodic or nonnegative periodic solutions for a totally nonlinear neutral differential equation with infinite delay. In the process, we convert the given neutral differential equation into an equivalent integral equation. Then, we employ Krasnoselskiǐ-Burton’s fixed point theorem to prove the existence of periodic or nonnegative periodic solutions. Two examples are provided to illustrate the obtained results.
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