Qualitative properties of a p -Laplacian population model with delay

Advances in Difference Equations

Jian Deng¹  Ying Yang² 

[1] School of Mathematical Sciences, South China Normal University, Guangzhou, China;School of Mathematics and Statistics, Shenzhen University, Shenzhen, China

关键词: p-Laplacian;    delay;    upper and lower solutions;    oscillation;   

DOI  :  10.1186/s13662-017-1073-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with qualitative properties of the evolutionary p-Laplacian population model with delay. We first establish the existence of solutions of the model by using the method of parabolic regularization and energy estimate and give the uniqueness by a recursive process. Then, combining the upper and lower solution method and the oscillation theory of functional differential equations, we obtain the oscillation of all positive solutions about the positive equilibrium.

【 授权许可】

CC BY