Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-1812-23
Keywords
Nonlinear dynamic equation, neutral type equation, nonoscillation, Darbo fixed point theorem
First Page
1699
Last Page
1711
Recommended Citation
ROSIAK, MAGDALENA NOCKOWSKA
(2019)
"Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 43.
https://doi.org/10.3906/mat-1812-23
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/43
