Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations
We present new oscillation criteria for the differential equation of the form [𝑟(𝑡)𝑈(𝑡)]+𝑝(𝑡)𝑘2(𝑥(𝑡),𝑥(𝑡))|𝑥(𝑡)|𝜈𝑈(𝑡)+𝑞(𝑡)𝜙(𝑥(𝑔1(𝑡)),𝑥(𝑔2(𝑡)))𝑓(𝑥(𝑡))=0, where 𝑈(𝑡)=𝑘1(𝑥(𝑡),𝑥(𝑡))|𝑥(𝑡)|𝛼−1𝑥(𝑡), 𝛼≤𝛽,𝜈=(𝛽−𝛼)/(𝛼+1). Our research is different from most known ones in the sense that H function is not...
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Main Authors: | Hui-Zeng Qin, Yongsheng Ren |
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Format: | Article |
Language: | English |
Published: |
Wiley
2009-01-01
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Series: | International Journal of Differential Equations |
Online Access: | http://dx.doi.org/10.1155/2009/714357 |
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