On bounded nonoscillatory solutions of
third-order nonlinear differential equations

I. Mojsej and A. Tartažová
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.

Contact the authors: ivan.mojsej@upjs.sk, alena.tartalova@tuke.sk

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