Investigation of quasi-multiperiodic solutions of non-linear systems of partial integro-differential equations by method of shortening

Abstract

The work has been aimed at finding sufficient conditions of existence and uniqueness of quasi-multiperiodic solution of the systems under study, at using the method of shortening to independent variables and obtaining evaluations for deviations. Used has been the method of integral varieties in the sense of Bogoliubov-Mitropolsky for the investigation of quasi-multiperiodic solutions of non-linear systems of partial integro-differential equations. Proved have been the new evaluations for the characteristic function of integro-differential operator and matriciant of linearized system. Obtained have been sufficient conditions for existence and uniqueness of quasi-multiperiodic solutions. The results can be used in the investigation of oscillating limited solutions of integro-differential equationsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio