一类Lebesgue可积下的非线性积分方程  

A Nonlinear Integral Equation under the Conditions of Lebesgue Integral

作　　者：吴宇[1] 邓圣福[2] 

机构地区：[1]宜宾学院,四川宜宾644007 [2]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2003年第5期845-848,共4页Journal of Sichuan University(Natural Science Edition)

摘　　要：在Lebesgue可积且没有Lipschitz条件下,用逐次逼近的方法给出了一类含有多个非线性项的积分方程解的存在性.所得结果推广了已有的结果,并且用实例给出了解的逼近.Under the conditions of Lebesgue integral and without Lipschitzian conditions,the existence of solutions of an integral equation with more than one nonlinear terms is proved by successive approximation.The obtained result generalizes the wellknown result.Examples are given to show how such solutions can be approximated.

关 键 词：非线性积分方程 LEBESGUE可积 Lipsehitz条件 逐次逼近 

分 类 号：O175.5[理学—数学]