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Nonexistence of Kneser solution for third order nonlinear neutral delay differential equations

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, , Citation R. Elayaraja et al 2021 J. Phys.: Conf. Ser. 1850 012054 DOI 10.1088/1742-6596/1850/1/012054

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elaya.ams@gmail.com

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1 Department of Mathematics, Annai Mathammal Sheela Engineering College, Namakkal 637 013, Tamil Nadu, India.

2 Department of Mathematics, Paavai Engineering College (Autonomous), Pachal, Namakkal- 637018, Tamil Nadu, India.

3 PG and Research Department of Mathematics, Aringar Anna Government Arts College, Namakkal - 637002, Tamil Nadu, India.

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Abstract

The achieved sufficient conditions for nonexistence of so-called Kneser solutions are based on the new comparison principles, which help us decrease the problem of the wavering between the third and first-order equations. Examples are given to prove the significance of new theorems.

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10.1088/1742-6596/1850/1/012054