一类带有变号的二阶四点奇异边值问题的多个正解

Multiple Solutions for a Class of Singular Second-order Four-point Boundary Value Problem with Sign Changing Nonlinearity

研究了一类带有变号的二阶四点奇异边值问题{u″(t)+h(t)f(t,u(t))=0,t∈(a,b),λu′(a)=μu(ξ),u(b)=δu(η),主要利用上下解方法和Leray-Schauder度理论得到了三个正解的存在结果,改进和推广了现有的结果。

The multiple solutions for a class of singular second-order four-point boundary value problem with sign changing nonlinearity is investigated.By using upper and lower solutions method and Schauder degree theory,the existence of three solutions is obtained,which improves or extends the presented results.