一类可变号二阶三点边值问题拟对称正解的研究

Positive pseudo-symmetric solutions of boundary value problems for second-order quasilinear differential equation with sign changing nonlinearities

微分方程有着深刻而生动的实际背景,它在许多领域发挥着重要的作用,所以微分方程边值问题解的定性研究是十分重要的。利用新不动点定理证明了一类可变号的带p-拉普拉斯算子二阶三点边值问题拟对称正解的存在性。

Differential equations,for its profound and vivid actual background,play an important role in many fields,so the research in the existence of positive solutions of boundary value problems for differential equations has become a focus.In this paper,by using a new fixed point theorem,we obtain pseudo-symmetric solutions for three-point p-Laplacian boundary value problems with dependence on the first order derivative.