در یک مسئله طیفی معکوس برای اپراتورهای دیفرانسیل انتگرال درجه اول با اختلالات

A convolution integro-differential operator of the first order with a finite number of discontinuities is considered. Properties of its spectrum are studied and a uniqueness theorem is proven for the inverse problem of recovering the convolution kernel along with the boundary condition from the spectrum.