# 第二类Hammerstein积分方程的一种新解法A New Method for Solving a Hammerstein Integral Equation of the Second Kind

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A nonlinear Hammerstein integral equation of the second kind is investigated in the present paper. The uniqueness of solution is considered by using the fixed point theorem in Banach spaces. A new numerical method is proposed by using the integral mean value theorem and the idea of piecewise approximation. An approximate solution is made and its convergence and error estimate are fur-ther analyzed. Numerical results are carried out to verify the feasibility and novelty of the proposed solution procedures.

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