This work is devoted to the study of the existence of uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations by means of the Darbo fixed point theorem. We construct assumptions without sign conditions on the nonlinear part of the equation. Moreover, we prove the necessary condition for the existence of an asymptotically zero solution to the problem under consideration.
Nonlinear dynamic equation, neutral type equation, nonoscillation, Darbo fixed point theorem
ROSIAK, MAGDALENA NOCKOWSKA
"Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations,"
Turkish Journal of Mathematics: Vol. 43:
3, Article 43.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/43