在MengerPN空间中构造新的边界条件,采用新的技巧,通过拓扑度理论给出几类非线性算子方程解的存在性定理,改进了以往若干结论,并将所得的结果应用到一类特殊的函数方程中.
Some new bounded conditions are constructed in Menger PN spaces, meanwhile, solu- tions of some nonlinear operator equations ave obtained by virtue of topological degree. The main results obtained in this paper improve the recent ones. Furthermore, the new conclusions are applied to a special equation.