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Oscillation of Second-Order Functional Differential Equations with Superlinear Neutral Terms

Oscillation of Second-Order Functional Differential Equations with Superlinear Neutral Terms This work deals with the study on the oscillatory behavior of solutions to a class of nonlinear second-order functional differential equation with superlinear neutral terms. It presents new sufficient conditions that ensure the oscillation of all solutions under the assumptions that allow applications to differential equations with delayed and/or advanced arguments. Illustrative examples are also provided to show applicability of the results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

Oscillation of Second-Order Functional Differential Equations with Superlinear Neutral Terms

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References (47)

Publisher
Springer Journals
Copyright
Copyright © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2021
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-021-01185-w
Publisher site
See Article on Publisher Site

Abstract

This work deals with the study on the oscillatory behavior of solutions to a class of nonlinear second-order functional differential equation with superlinear neutral terms. It presents new sufficient conditions that ensure the oscillation of all solutions under the assumptions that allow applications to differential equations with delayed and/or advanced arguments. Illustrative examples are also provided to show applicability of the results.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: Jan 1, 2022

Keywords: Oscillation; Second-order; Neutral differential equations; Superlinear; 34K11; 34K40; 39A21

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