Abstract
This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. We give the necessary and sufficient conditions guaranteeing the existence of bounded nonoscillatory solutions. Sufficient conditions are proved via a topological approach based on the Banach fixed point theorem.
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Mojsej, I., Tartaľová, A. On bounded nonoscillatory solutions of third-order nonlinear differential equations. centr.eur.j.math. 7, 717–724 (2009). https://doi.org/10.2478/s11533-009-0054-z
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DOI: https://doi.org/10.2478/s11533-009-0054-z