非线性Volterra-Stieltjes型积分方程解的存在性

Existence of Solutions for Nonlinear Volterra-Stieltjes Type Integral Equations

根据非紧性测度以及凸幂凝聚算子的不动点定理,研究一类更具一般性的非线性Volterra-Stieltjes型积分方程解的存在性.由于非线性项中含有非线性积分算子,相对于线性积分算子,所得结论推广和丰富了已有的一些结果.

In this paper ,we apply the measure of noncompactness and convex-power condensing operator to investigate a class of nonlinear Volterra-Stieltjes integral equation and obtain the existence of solutions for this integral equation .Because there is a nonlinear integral operator in nonlinear term ,compared with line-ar integral operator ,some results in known papers are expanded and enriched .