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Abstract: The aim of this paper is to study the qualitative behavior of solutions of nonlinear differential equations of the third order with quasiderivatives. In particular, we give the necessary and sufficient conditions for the existence of nonoscillatory solutions with given asymptotic behavior as $t\rightarrow\infty$. These conditions are presented as integral criteria involving only the coefficients of investigated differential equations. In order to prove some of the results, we use a topological approach based on the Schauder fixed point theorem. Contact the authors: ivan.mojsej@upjs.sk Download PDF version of the preprint. |