弱紧型条件下Banach空间中一类非线性Volterra型积分方程解的存在性

Existence of Solution in Weak Topology Condition for a Class of Nonlinear Volterra Integral Equations in Banach Space

主要考虑Banach空间中一类非线性Volterra型积分方程在弱拓扑下逼近解与精确解之间的关系,并由此通过比较定理在弱紧型条件下获得方程解的存在性结果.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,文章所得结论推广并丰富了已有文献的一些结果.

In weak topology condition the relationship between the approximate and exact solutions to a class of nonlinear Volterra integral equations is considered. Then we get an existence result of the equations in weak topology condition via comparison thereom. Taking the nonlinear integral operator into consideration, different from linear integral operator, the study can enrich the results in literature