摘要 : Linear Volterra-type integral equations with kernels having a series expansion in the first variable have series solutions with coefficients given iteratively. Their resolvents may be expanded likewise. The associated homogeneous ... 展开 Linear Volterra-type integral equations with kernels having a series expansion in the first variable have series solutions with coefficients given iteratively. Their resolvents may be expanded likewise. The associated homogeneous equation Kf = f generally has Frobenius series solutions when the kernel is singular, whereas Kf =0 generally has such solutions regardless of singularity: the proviso in each case is that associated ‘‘indicial equation’’ has solutions. 收起