由使用向量 Riccati 转变并且平均技术，为伪的一些摆动标准第二份订单的线性椭圆形的微分方程，Σ_(我， j ＝1 )~ N D_i [Ψ( y )A_( ij )(x) ∣D y ∣^( p-2 ) D_jy ]+ p (x) f (y)= 0 ，被获得。这些定理为半扩大并且包括更早的结果有 p 拉普拉斯算符的线性椭圆形的方程和 PDE。
A new fixed point theorem is presented and sufficient conditions are obtained for the existence, uniqueness and global attractivity of a positive almost periodic solution to a delayed differential equation with almost periodic factors.
Penghua Hong, Peixuan Weng (School of Math., South China Normal University, Guangzhou 510631)
In this paper, we study the boundary value problem for some p-Laplacian dynamic equations. By using Guo-Krasnosel'Skii Fixed Point Theorem and Avery-Henderson Fixed Point Theorem, conditions for the existence of positive solutions are obtained.
Wu Chufen1, Song Changxiu2, Weng Peixuan1 (1. School of Math., South China Normal University, Guangzhou 510631
A periodic difference predator-prey model with Holling-(m+1)(m>2)type functional response and impulses is established.Sufficient conditions are derived for the existence of periodic solutions by using a continuation theorem in coincidence degree.
