CAJ | 학술논문

本文研究了一类带有变号二阶四点奇异边值问题的正解的存在性.首先我们给出其格林函数,其次我们结合下解的方法和拓扑度理论得到了其正解的存在性.最后给出-个例题阐述得到结果的正确性.本文的结果是新的,并且扩展了已有的结果.
본문연구료일류대유변호이계사점기이변치문제적정해적존재성.수선아문급출기격림함수,기차아문결합하해적방법화탁복도이론득도료기정해적존재성.최후급출-개례제천술득도결과적정학성.본문적결과시신적,병차확전료이유적결과.
In this paper, by using the method of lower solution and topology degree theorem, we study the existence of positive solution for a class of singular second-order four-point boundary value problem with sign changing nonlinearity. The associated Green's function for the above problem is given. As an application, we also give an example to demonstrate our result. The results of this paper are new and extend previously known results.