局部凸空间一个模型的非零解与微分方程组的非零周期解

The non-zero solutions of a model in locally convex spaces and the non-zero periodic solutions of differential system

利用fp -同伦的方法 ,在边界条件 (L ,S ; A ,a)的支持下 ,研究局部凸空间中模型 f(u ,u) ∩F(u)≠的非零解问题 .并应用所得的理论结果 ,讨论微分方程组的非零周期解问题 .

Under the boundary conditions (L, S; A, a), the problem on the non-zero solutions of the model f(u, u)∩F(u)≠ in locally convex spaces is studied by the fp-homotopy method, and as an application, the non-zero periodic solutions of differential system are discussed.