Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels
Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels
The multidimensional integral equation of second kind with a homogeneous of degree (−n) kernel is considered. The special class of continuous functions with a given asymptotic behavior in the neighborhood of zero is defined. It is proved that, if the free term of the integral equation belongs to this class …