On integral manifolds of oscillating systems with slowly varying frequencies

  • L. M. Lakusta
  • R. I. Petryshyn

Abstract

By using averages of functions, we construct the integral manifold of an oscillating system that passes through resonances in the course of its evolution. We investigate the smoothness of the integral manifold and obtain estimates for its partial derivatives.
Published
25.01.1998
How to Cite
Lakusta L. M., and PetryshynR. I. “On Integral Manifolds of Oscillating Systems With Slowly Varying Frequencies”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 1, Jan. 1998, pp. 87–93, https://umj.imath.kiev.ua/index.php/umj/article/view/4974.
Section
Research articles