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| Oscillation Results for BVPs of Even OrderNonlinear Neutral Partial Differential Equations |
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| KeyWord:Even order partial functional differential equation boundary value
problem oscillation criteria continuous distribution delay nonlinear diffusion
term |
| Author Name | Affiliation | | Zhenguo Luo | College of Mathematics and Statistics, Hengyang Normal University,
Hengyang, Hunan 421002, China
Hunan Provincial Key Laboratory of Intelligent Information, Processing and
Application, Hengyang, Hunan 421002, China | | Liping Luo | College of Mathematics and Statistics, Hengyang Normal University,
Hengyang, Hunan 421002, China
Hunan Provincial Key Laboratory of Intelligent Information, Processing and
Application, Hengyang, Hunan 421002, China | | Yunhui Zeng | College of Mathematics and Statistics, Hengyang Normal University,
Hengyang, Hunan 421002, China
Hunan Provincial Key Laboratory of Intelligent Information, Processing and
Application, Hengyang, Hunan 421002, China |
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| Abstract: |
| A class of boundary value problems (BVPs) of even order neutral
partial functional differential equations with continuous distribution delay and
nonlinear diffusion term are studied. By applying the integral average and
Riccati’s method, the high-dimensional oscillatory problems are changed into
the one-dimensional ones, and some new sufficient conditions are obtained
for oscillation of all solutions of such boundary value problems under first
boundary condition. The results generalize and improve some results of the
latest literature. |
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