In the paper a Bihari type integral inequality for vector-valued functions defined in certain ordered locally-compact spaces is established, and some applications of the inequality to nonlinear Volterra type integral equations are given.

• 本文对定义于一定有序局部紧空间上的向量值函数建立一个Bihari型积分不等式，并给出其对于非线性Volterra型积分方程的若干应用。