Oscillation Criteria for Certain Second-Order Nonlinear Neutral Differential Equations of Mixed Type

Some oscillation criteria are established for the second-order nonlinear neutral differential equations of mixed type [(x(t)+p1x(t−τ1)+p2x(t+τ2))γ]′​′=q1(t)xγ(t−σ1)+q2(t)xγ(t+σ2), t≥t0, where γ≥1 is a quotient of odd positive integers. Our results generalize the results given in the literature....

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2011; no. 2011; pp. 1411 - 1419
Main Authors Sun, Ying, Zhang, Chenghui, Li, Tongxing, Han, Zhen-Lai
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2011
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Differential equations, Nonlinear
Mathematical functions
Science
Studies
China
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Summary:Some oscillation criteria are established for the second-order nonlinear neutral differential equations of mixed type [(x(t)+p1x(t−τ1)+p2x(t+τ2))γ]′​′=q1(t)xγ(t−σ1)+q2(t)xγ(t+σ2), t≥t0, where γ≥1 is a quotient of odd positive integers. Our results generalize the results given in the literature.
ISSN:1085-3375
1687-0409
DOI:10.1155/2011/387483