On Invertibility of Some Functional Operators with Shift

In this paper, we consider operators arising in the modeling of renewable systems with elements that can be different states. These are functional non-Carlemann shifts and they act Holder spaces weight. The main attention was paid to non-linear equations relating coefficients a shift. solutions these were used reduce under consideration shift, invertibility conditions for which found previous articles authors. To construct solution equation, coefficient factorization problem (the homogeneous equation zero right-hand side) jump non-homogeneous unit coefficient). general is represented as composition two problems.