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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2009-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/714357 |