具有无界中立系数的三阶拟线性Emden-Fowler微分方程的振动结果

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2021-12-01 DOI:10.2478/tmmp-2021-0028

G. Chatzarakis, R. Srinivasan, E. Thandapani

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引用次数: 4

摘要

摘要得到了一类具有无界中立系数的（a（t）（z〃（t）α）′+f（t）yλ（g（t））=0，\[（a（t）{（z（t）^\alpha}）′+f（t）{y^\lambda}（g（t））=0的三阶拟线性Emden-Fowler微分方程的一些新的振动准则，其中z（t）=y（t）+p（t）y（σ（t）和α，λ是奇数正整数的比值。所建立的结果对已知结果进行了推广、改进和补充。

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Oscillation Results for Third-Order Quasi-Linear Emden-Fowler Differential Equations with Unbounded Neutral Coefficients

Abstract Some new oscillation criteria are obtained for a class of thirdorder quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients of the form (a(t)(z″(t))α)′+f(t)yλ(g(t))=0,\[(a(t){(z(t))^\alpha })' + f(t){y^\lambda }(g(t)) = 0,\] where z(t) = y(t) + p(t)y(σ(t)) and α, λ are ratios of odd positive integers. The established results generalize, improve and complement to known results.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量