一类时滞泛函微分方程组边值问题多个非负解存在性

Multiple Nonnegative Solutions to Boundary Value Problems with Systems of Delay Functional Differential Equations

本文研究了一类二阶非线性时滞泛函微分方程组边值问题多个非负解的存在性,通过将微分方程组转化成积分算子方程的方法,利用Legget-Williams不动点定理,证明了该系统具有多个非负解的结论,得到了边值问题三个非负解存在及任意多个非负解存在的多个存在性定理.

The paper studies the existence of multiple nonnegative solutions to boundary value problems with systems of second-order nonlinear delay functional differential equations. By turning differential equations into integral operator equations and using the Leggett-Williams＇s fixed point theorem, we prove that there exist multiple nonnegative solutions in the systems, and obtains existence theorems for the existence of three and multiple nonnegative solutions.