Table of Contents

Plateau operator and bifurcations of two-dimensional minimal surfaces.- Homological methods in the theory of periodic and equivariant maps.- Theory of operators and real algebraic geometry.- On the structure of the set of solutions for inclusions with multivalued operators.- Schouten bracket and canonical algebras.- Multidimensional sleeping tops.- Laplace-radon integral operators and singularities of solutions of differential equations on complex manifolds.- On the number of solutions for certain boundary-value problems.- Contact structure, relaxation oscillations and singular points of implicit differential equations.- Topological index estimates.- Modern approach to the theory of topological characteristics of nonlinear operators I.- Qualitative geometrical theory of integrable systems. classification of isoenergetic surfaces and bifurcation of liouville tori at the critical energy values.- Geometrical aspects of nelson's shastic quantization.- Singularities of solutions of differential equations on complex manifolds (characteristical case).- Image of period mapping for simple singularities.- The geometry of the nonholonomic sphere for three-dimensional lie group.