<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The aim of this paper is to present some results concerning with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. In particular, we state the necessary and sufficient conditions ensuring the existence of nonoscillatory solutions tending to zero as t → ∞.</p></abstract>

The aim of this paper is to present some results concerning with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. In particular, we state the necessary and sufficient conditions ensuring the existence of nonoscillatory solutions tending to zero as t → ∞.

On nonoscillatory solutions tending to zero of third-order nonlinear differential equations

Faculty of Science P. J. ˇSaf´arik University Jesenn´a 5 SK–040-01 Koˇsice SLOVAKIA

Department of Applied Mathematics and Business Informatics Faculty of Economics Technical University B. Nemcovej 32 SK–040-01 Koˇsice SLOVAKIA

Tatra Mountains Mathematical Publications

The aim of this paper is to present some results concerning with the asymptotic behavior of solutions of nonlinear differential equations of the third-order...

On nonoscillatory solutions tending to zero of third-order nonlinear differential equations

Published Online: Nov 13, 2012

Page range: 135 - 143

DOI: https://doi.org/10.2478/v10127-011-0013-5

Keywords
nonlinear differential equation of third order, quasiderivatives, existence and asymptotic behavior, nonoscillatory solution, Banach fixed point theorem.

This content is open access.

On nonoscillatory solutions tending to zero of third-order nonlinear differential equations

Published Online: Nov 13, 2012

Page range: 135 - 143

DOI: https://doi.org/10.2478/v10127-011-0013-5

Keywordsnonlinear differential equation of third order, quasiderivatives, existence and asymptotic behavior, nonoscillatory solution, Banach fixed point theorem.

This content is open access.

Keywords
nonlinear differential equation of third order, quasiderivatives, existence and asymptotic behavior, nonoscillatory solution, Banach fixed point theorem.