New Criteria for Oscillation of Third Order Nonlinear Delay Differential Equations

LUO Li-ping; YU Yuan-hong; ZENG Yun-hui

doi:10.3879/j.issn.1000-0887.2013.09.007

Volume 34 Issue 9

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LUO Li-ping, YU Yuan-hong, ZENG Yun-hui. New Criteria for Oscillation of Third Order Nonlinear Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2013, 34(9): 941-947. doi: 10.3879/j.issn.1000-0887.2013.09.007

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New Criteria for Oscillation of Third Order Nonlinear Delay Differential Equations

doi: 10.3879/j.issn.1000-0887.2013.09.007

¹Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 421002, P.R.China;²Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P.R.China

Received Date: 2013-05-27
Rev Recd Date: 2013-06-11
Publish Date: 2013-09-15

Abstract

Abstract

Oscillatory problems of a class of third order nonlinear delay differential equations were studied. With the techniques of operator and integral, the determinant conditions in which such equations had not A-type solution (or B-type solution) were given. Further, several new sufficient conditions for oscillation of such equations were obtained via suitable comparison theorems. Obtained results generalize and improve some known results of the latest literature and fully reflect the influence action of delay in equation oscillation. The main results are illustrated by some examples.
- variational third order,
- delay differential equation,
- A-type solution,
- B-type solution,
- comparison theorem,
- oscillation criterion,
- nonlinear

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References

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