Oscillatory behavior of solutions to third-order nonlinear differential equations with a superlinear neutral term

Date

2020-04-13

Authors

Tunc, Ercan
Grace, Said R.

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article studies the oscillatory and asymptotic behavior of solutions to a class of third-order nonlinear differential equations with superlinear neutral term. The results are obtained by a comparison with first-order delay differential equations whose oscillatory behavior is known, and by using integral criteria. Two examples are provided to illustrate the results.

Description

Keywords

Oscillation of solutions, Asymptotic behavior, Neutral differential equation

Citation

Tunç, E., & Grace, S. R. (2020). Oscillatory behavior of solutions to third-order nonlinear differential equations with a superlinear neutral term. <i>Electronic Journal of Differential Equations, 2020</i>(32), pp. 1-11.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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