Nonlinear boundary-value problems for ordinary and partial differential equations are encountered in the solution of many actual problems of modem applied sciences including problems in technics and engineering. Nonlinear approaches allow one to take into account fine effects and the most important features of phenomena and processes that cannot be done in a study of linear models. From a mathematical viewpoint, the realization of nonlinear approaches meets serious difficulties in fundamental investigations of boundary-value problems and in their application to practically realizable schemes and algorithms.For the coordination and joining of researches in this field, the necessity arises to organize symposiums, conferences, schools, and seminars devoted to linear and nonlinear problems of modem mathematical physics. Ordinary differential equations. The following were considered: singular systems of equations of the first order with operators which depend on an unknown function and its derivatives up to the nth order and possessing r-parameter families of solutions, autonomous differential equations of the second order with pulse influence and the periodic right-hand side, periodic formal solutions of a nonlinear differential equation of the second order, almost periodic trajectories of a pulse system of ordinary integro-differential equations of the first order, asymptotic properties of solutions of singular systems of differential equations with an unstable return point, nonoscillative properties of solutions of differential equations of the second order and their application to geometry and probability theory, the existence and asymptotics of a solution of the Cauchy problem for a singular operator-differential equation of the first order, the problems of exponential dichotomy on R of linear systems of differential equations, exact solutions of a certain class of the It6 equations, asymptotic representations of a certain class of nonoscillative solutions of a nonlinear nth-order differential equation resolved with respect to the high derivative, asymptotic representations of solutions of linear differential equations of the nth order and equations of the

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