CAJ | 학술논문

应用不动点指数方法，在与相应线性算子第一特征值有关的条件下，得到一类奇异三点边值问题正解的存在性结果。在超线性和次线性问题中，这类条件比其他形式的条件更优，所得结果推广和改进了已有文献中的主要结果。
응용불동점지수방법，재여상응선성산자제일특정치유관적조건하，득도일류기이삼점변치문제정해적존재성결과。재초선성화차선성문제중，저류조건비기타형식적조건경우，소득결과추엄화개진료이유문헌중적주요결과。
The existence of positive solutions for a class of second-order three-point boundary value problem was ob-tained by applying the fixed point index theory under some conditions concerning the eigenvalues of relevant linear operator. When compared with other conditions in superlinear and sublinear problems , this conditions are almost the best. so results in this paper extend and improve the main results in early references.