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Oscillation theorems for second-order nonlinear differential equations with damped term

โœ Scribed by Wan-Tong Li; Peihao Zhao

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
759 KB
Volume
39
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

Several oscillation criteria are given for the second-order damped nonlinear differential

where a > 0 is any quotient of odd integers, a 6 C(R, (0,~)), p(t) and q(t) are allowed to change sign on [t0,c~), and f E CI(R,R) such that xf(x) > 0 for x :~ 0. Our results improve and extend some known oscillation criteria. Examples are inserted to illustrate our results. (~) 2004 Elsevier Ltd. All rights reserved.

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Several oscillation criteria are established for the second-order damped nonlinear difference equation where a > 0 is any quotient of odd integers, {pโ€ข} and {qn} are real sequences, and f E C(R, R) such that xf(x) > 0 for x # 0. Several examples which dwell upon the importance of our results are al