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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 NameAffiliation
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.