Nonlineroverdetermined systems of integral equation with super-singular kernels in cylindrical domains

In this work, we investigate one class of nonlinear overdetermined system integral equation with boundary super-singular kernels. For this type overdetermined system integral equation in depend of sign parameters present in kernels, integral representation manifold solution by one arbitrary constant obtained. Investigate the property of the obtained integral representation. In this basis formulation Caushy type boundary value problems and its solution found in explicit form.