一类非线性变型Hammerstein方程的解的奇异展开

摘要

It is important to obtain the singularity expansions of the solutions of the integral equations,which reflect the physical characteristic of the equations and allow us to have approximate solutions with physical significance.The singularity expansions of the solutions of the weakly singular modified Hammerstein equations with logarithm kernel are obtained.%方程解的奇异分解对于获得方程具有物理意义的近似解意义重大.对具有对数核的弱奇性变型Hammerstein方程的解的特性进行了分析,获得并证明了它的解的奇异展开.