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

Ivan Mojsej; Alena Tartal’ová

doi:10.2478/v10127-011-0013-5

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

Tatra Mountains Mathematical Publications

Volume 48 (2011): Issue 1 (April 2011)

By: Ivan Mojsej and Alena Tartal’ová

Open Access

|Nov 2012

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 → ∞.

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-011-0013-5 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 135 - 143

Published on: Nov 13, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

nonlinear differential equation of third order,

quasiderivatives,

existence and asymptotic behavior,

nonoscillatory solution,

Banach fixed point theorem.

Related subjects:

Mathematics,

General mathematics

© 2012 Ivan Mojsej, Alena Tartal’ová, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 48 (2011): Issue 1 (April 2011)