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Unbounded oscillation criteria for fourth order neutral differential equations of non-canonical type

  • Rashmi Rekha Mohanta and Arun Kumar Tripathy EMAIL logo
Published/Copyright: June 11, 2022
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Abstract

In this work, sufficient conditions are established for oscillation of all unbounded solutions of a class of fourth order neutral differential equations of the form

( r ( t ) ( y ( t ) + p ( t ) y ( t τ ) ) ) + q ( t ) G ( y ( t α ) ) h ( t ) H ( y ( t σ ) ) = 0

under the non-canonical type assumption

0 t r ( t ) d t <

for various ranges of p(t) with ∣p(t)∣ < ∞.

Acknowledgement

The authors are thankful to the referees for their valuable comments and suggestions about this work for completion.

  1. (Communicated by Michal Fečkan)

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Received: 2020-07-31
Accepted: 2021-05-20
Published Online: 2022-06-11
Published in Print: 2022-06-27

© 2022 Mathematical Institute Slovak Academy of Sciences

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