ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


integral operator

Application of integral methods for the study of the parabolic problem

Topic. The work is devoted to the study of a mathematical model describing an optical system with two-dimensional feedback. An example of such an optical system could be a nonlinear interferometer with a specular reflection of the field. The mathematical model is a nonlinear functional differential parabolic equation with the transformation of the spatial variable reflection and conditions on the disk. Aim of the work is to study the conditions for the occurrence of spatially inhomogeneous stationary solutions.