Banach空间中一类非线性Volterra型积分方程整体解的存在性

Existence of Nontrivial Global Solution for a Class of Nonlinear Volterra Integral Equations in Banach Space

利用一个新的不动点定理在较弱的条件下考虑Banach空间中一类非线性Volterra型积分方程整体解的存在性.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,文章所得结论推广并丰富了已有文献的一些结果.

We get a global existence result for a class of nonlinear integral equations by applying a new fixed point thereom in weaker condition. Because there is a nonlinear integral operator in nonlinear term, compared with linear integral operator, some results in knowed papers are expanded and enriched.