MULTILEAVED DIRECTING FUNCTIONS IN TASK ABOUT PERIODICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS

Abstract

The non-linear periodical differential equations of different classes have been studied. The aim is to search the new conditions for existence of the forced periodical vibrations and to reveal a possibility of their approximated construction by a method of harmonic balance. The new method for investigation of the tasks about forced vibrations for ordinary differential equations, equations with hysteresis and lags and equations of the automatic control has been proposed. The method permitted to obtain the new theorems about forced vibrations in the systems which are near to the resonant onesAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio