About one approach to determination of periodic solutions of a nonlinear ordinary differential equation of the second order

Authors

  • Ju. Bokhonov доцент Навчально-наукового комплексу "Інститут прикладного системного аналізу" НТУУ "КПІ" МОН та НАН України, Київ, Ukraine

Abstract

The approach to determining of periodic solutions of the nonlinear differential second order equation is proposed. The approach is based on construction of the Green’s function for differential operator defined on the functions, which satisfy boundary conditions. Necessary and sufficient conditions for the existence of periodic solutions of the equation are shown.

Author Biography

Ju. Bokhonov, доцент Навчально-наукового комплексу "Інститут прикладного системного аналізу" НТУУ "КПІ" МОН та НАН України, Київ

Бохонов Юрій Євгенович,

кандидат фізико-математичних наук, доцент Навчально-наукового комплексу "Інститут прикладного системного аналізу" НТУУ "КПІ" МОН та НАН України, Київ

Downloads

Published

2012-06-27

Issue

No. 2 (2012)

Section

New methods in system analysis, computer science and theory of decision making

License

This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. This is in accordance with the BOAI definition of open access.