一类非线性函数积分方程解的存在唯一性

The Unique Solvability of a Class of Non--linear Functional Integral Equations

研究一类非线性函数积分方程解的存在唯一性。引进一个刻划方程解性质的Banach空间,并在一定条件下证明了算子的局部压缩性质,然后证明了整体解的存在唯一性。

This paper deals with the existence and uniqueness of the solution of a class of nonlinear functional integral equations. A Banach space characterizing the property of solution is first introduced, then a local contraction of an operator defined by equation is proved under some conditions, and finally the existence and uniqueness of the global solution is obtained.