Oscillation criteria of second order Emden-Fowler time-delay differential equations with a sub-linear neutral term

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (13) : 50-57.

ZENG Yunhui1, LUO Huihui2, WANG Yilin1, LUO Liping1, YU Yuanhong3

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Abstract

The paper is devoted to the study of oscillation of solutions to second-order Emden-Fowler delay differential equations containing a sub-linear neutral term of the form where are quotient of odd positive integers, and By using the Riccati substitution , integral averaging and inequality techniques, three new oscillation criteria for the equation are established. which extend classical Leighton and Kneser oscillation criteria to super-linear Emden-Fowler delay differential equation. And, we not only extend but also improve several results about the cases of or in the literature, recently. The effectiveness of the obtained criteria are illustrated via examples.

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ZENG Yunhui1, LUO Huihui2, WANG Yilin1, LUO Liping1, YU Yuanhong3. Oscillation criteria of second order Emden-Fowler time-delay differential equations with a sub-linear neutral term[J]. Journal of Vibration and Shock, 2023, 42(13): 50-57

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