Nonlinear elliptic and parabolic functional-differential equations
Mixed problems for quasi-linear parabolic functional-differential equations with transformations of spatial variables.
The study of the normality of the linearized elliptic functional-differential operator. Obtaining bifurcation conditions for periodic solutions of quasilinear parabolic functional differential equations.
Construction of optical systems with field transformation in the feedback loop in order to generate stable space-time structures (such as multileaf waves).