【摘要】 本文通过研究非线性项,(t,x1,x2…,xn-1)和9(t,y1,y2,…,yn-1)的性质,给出了高阶耦合边值问题至少存在一个正解的条件.同时,运用该结论建立了两个正解的存在性定理.更多还原

【Abstract】 In this paper, the authors provide conditions on nonlinear functions f(t, x1, X2,..., Xn1-)and g(t, y1i, y2,..., yn-1) such that the higher-order coupled boundary value problem has at least one positive solution. Moreover, they shall apply this result to establish several existence theorems which guarantee the existence of multiple positive solutions.更多还原