The research interests of Prof. Kutev are in the field of non-linear elliptic and parabolic equations and systems appearing in geometry, physics and engineering: e.g. the minimum surface equation, the equation of Monge-Ampere, the equation of anisotopic diffusion in the theory image clarification, viscose solutions, diffraction problems of equations with non-continuous coefficients and others. The total number of publications of Prof. Kutev is 64, where 63 are printed, and 1 is on the way. Of these, 36 were published abroad, 18 are in journals with Impact factor. Publications of Prof. Kutev been cited 85 times in 73 articles, 7 of which in English journals and 68 magazines in the world. In 1990, 1991 Prof. Kutev was a Humboldt scholar at the University of Karlsruhe and Heidelberg, Germany, and guest researcher in Heidelberg in 1992, 1993, 1994 in Bonn, 1995-1999 in Cologne -- Germany.