Biography
A well-known specialist in the field of the theory of differential equations and their applications. She studies boundary value problems for systems of ordinary differential, differential-algebraic, integro-differential equations, as well as equations not solved with respect to the derivative and semilinear elliptic equations on the plane. She develops constructive methods for studying boundary value problems and algorithms for constructing their solutions using various approaches. She improved the classification of nonlinear differential-algebraic boundary value problems, found constructive solvability conditions and schemes for constructing solutions of differential-algebraic boundary value problems in critical and non-critical cases without using the central canonical form. She proved a theorem on the factorization of solutions of semilinear strictly elliptic divergence-type equations with measurable coefficients.
