Year: 2019
Author: Zhenguo Luo, Liping Luo, Yunhui Zeng
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 261–270
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.261
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 261–270
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Even order partial functional differential equation boundary value problem oscillation criteria continuous distribution delay nonlinear diffusion term.