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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
【摘要】 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。
【Abstract】 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.
【关键词】 非线性;
函数方程;
局部压缩;
整体解;
【Key words】 non-linearity; functional equation; local contraction; global solution;
【Key words】 non-linearity; functional equation; local contraction; global solution;
- 【文献出处】 中山大学学报(自然科学版) ,Acta Scifntiarum Naturalium Universitatis Sunyaatseni , 编辑部邮箱 ,1989年04期
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