不具强制性条件的Hammerstein积分方程的解

The Solution of Hammerstein Integral Equation without Coercive Conditions

在自反Ｂａｎａｃｈ空问的框架下建立了极大单调且３＊—单调算子的一个值域定理，用此定理并注意到Ｎｅｍｙｃｋｉｌ算子的３＊—单调性，在空间Ｌｐ（Ｇ）（１＜Ｐ＜∞，ＧＲｎ有界开）中证明了不具强制性条件的Ｈａｍｍｅｒｓｔｅｉｎ积分方程解的存在性。

An abstract range theorem for maximal monotone and 3* -monotone operatorsis proved in the real reflexive Banach spare,using this theorem and the 3*-monotonicity of Nemyckii operator .the existence of soldtion of Hammerstoin integral equation without corecive condition isproved in Lp(G) with 1 <p<∞,and GR. is open bounded.