ORIGINAL PAPER

Oscillation criteria for second-order Emden–Fowler delay differential equations with a sublinear neutral term

Jozef Džurina

Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, B. Němcovej 32, 042 00 Košice, Slovakia

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Said R. Grace,

Said R. Grace

Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza, 12221 Egypt

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Irena Jadlovská,

Irena Jadlovská

Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, B. Němcovej 32, 042 00 Košice, Slovakia

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Tongxing Li,

Corresponding Author

Tongxing Li

[email protected]

School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061 P. R. China

Correspondence

Tongxing Li, School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, P. R. China.

Email: [email protected]

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Jozef Džurina,

Jozef Džurina

Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, B. Němcovej 32, 042 00 Košice, Slovakia

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Said R. Grace,

Said R. Grace

Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza, 12221 Egypt

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Irena Jadlovská,

Irena Jadlovská

Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, B. Němcovej 32, 042 00 Košice, Slovakia

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Tongxing Li,

Corresponding Author

Tongxing Li

[email protected]

School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061 P. R. China

Correspondence

Tongxing Li, School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, P. R. China.

Email: [email protected]

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First published: 09 March 2020

https://doi.org/10.1002/mana.201800196

Citations: 125

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Abstract

New oscillation criteria for the second-order Emden–Fowler delay differential equation with a sublinear neutral term are presented. An essential feature of our results is that oscillation of the studied equation is ensured via only one condition. Furthermore, as opposed to the results by Agarwal et al. (Ann. Mat. Pura Appl. (4) 193 (2014), no. 6, 1861–1875), Li and Rogovchenko (Math. Nachr. 288 (2015), no. 10, 1150–1162; Monatsh. Math. 184 (2017), no. 3, 489–500), and Xu (Monatsh. Math. 150 (2007), no. 2, 157–171), new criteria can be applied to Emden–Fowler delay differential equations with noncanonical operators and a sublinear neutral term. Our results essentially improve, extend, and simplify some known ones reported in the literature. The results are illustrated with examples.

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Volume293, Issue5

May 2020

Pages 910-922

Oscillation criteria for second-order Emden–Fowler delay differential equations with a sublinear neutral term

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Oscillation criteria for second-order Emden–Fowler delay differential equations with a sublinear neutral term

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