Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities

Joint Authors

Han, Zhen-Lai
Sun, Shurong
Sun, Yibing
Li, Tongxing

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-01-19

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

We study the following second-order neutral functional differential equation with mixed nonlinearities (r(t)|(u(t)+p(t)u(t-σ))'|α-1(u(t)+p(t)u(t-σ))′)′+q0(t)|u(τ0(t))|α-1u(τ0(t))+q1(t)|u(τ1(t))|β-1u(τ1(t))+q2(t)|u(τ2(t))|γ-1u(τ2(t))=0, where γ>α>β>0, ∫t0∞(1/r1/α(t))dt<∞.

Oscillation results for the equation are established which improve the results obtained by Sun and Meng (2006), Xu and Meng (2006), Sun and Meng (2009), and Han et al.

(2010).

American Psychological Association (APA)

Sun, Shurong& Li, Tongxing& Han, Zhen-Lai& Sun, Yibing. 2011. Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-508810

Modern Language Association (MLA)

Sun, Shurong…[et al.]. Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities. Abstract and Applied Analysis No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-508810

American Medical Association (AMA)

Sun, Shurong& Li, Tongxing& Han, Zhen-Lai& Sun, Yibing. Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-508810

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-508810