【摘要】 本文讨论Ｈｉｌｂｅｒｔ空间上具有强单调、上半 Ｌｉｐｓｃｈｉｔｚ连续性质的多值算子方程的求解方法，构造了迭代格式并证明迭代过程是收敛的；同时给出它在求解多值微分方程边值问题中的应用．更多还原

【Abstract】 In this paper, an iterative method for a kind of multivalued operator equations in the Hilbert space is discussed, where the operator is strongly monotone and satisfies the condition of Lipschitz upper semicontinuous. The convergence of iterative process is proved. As an application, an example for multivalued differential equation with boundary condition is given.更多还原