摘要
本文利用单调型强制映射满射性和逼近方法建立了广义Ｈａｍｍｅｒｓｔｅｉｎ型方程ｕ＋Ｋ（ｕ）Ｆ（ｕ）＝０解的存在性定理，这里对于实自反Ｂａｎａｃｈ空间Ｘ的共轭空间Ｘ＊的每个ｕ，Ｋ（ｕ）：Ｘ→Ｘ＊是线性映射，Ｆ：Ｘ＊→Ｘ是任一映射．所得结果推广了Ｓｃｈｉｌｉｎｇ。
In this paper, we establish existence theorems for generalized Hammerstein equation u+K(u)Fu=0 using the surjectivity of mapping of monotone type and the approximation method, where for each u in the dual X * of a real reflexlve Banach space X, K(u):X→X * is a bounded linear map and F:X *→X is any map. Our results generalize corresponding results of schillings. Srikanth and Joshi.
