Once again on the Samoilenko numerical-analytic method of successive periodic approximations
A new numerical-analytic algorithm for the investigation of periodic solutions of nonlinear periodic systems of differential equations dx/dt = A(t) x+ ƒ(t, x) in the critical case is developed. The problem of the existence of solutions and their approximate construction is studied. Estimates for the convergence of successive periodic approximations are obtained.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 4, pp 529-550.
Citation Example: Korol' I. I., Perestyuk N. A. Once again on the Samoilenko numerical-analytic method of successive periodic approximations // Ukr. Mat. Zh. - 2006. - 58, № 4. - pp. 472–488.