时间尺度上的一阶三点边值问题的多个正解分析

摘要

时间尺度上的微积分基本理论为微分方程和差分方程的研究提供了统一的框架,同时也有广阔的应用前景.论文研究时间尺度上的一类非线性一阶微分方程的三点边值问题,利用Avery-Henderson不动点定理,建立了该边值问题至少两个正解存在性的充分条件.%Basic theory of time scale calculus contains,links and extends the classical theory of differential and difference equations,that unites differential and difference equations into a general framework.Moreover,it has the broad application prospect.By using the wellknown twin fixed point theorem due to Avery and Henderson,we establish the existence of at least two positive solutions for a nonlinear first order three point boundary value problem on time scale.