English

Complex dynamic of the system of nonlinear difference equations in the Hilbert space

Analysis of PDEs 2018-09-12 v1 Dynamical Systems

Abstract

In the given article the necessary and sufficient conditions of the existence of solutions of boundary value problem for the nonlinear system in the Hilbert spaces are obtained. Examples of such systems like a Lotka-Volterra are considered. Bifurcation and branching conditions of solutions are obtained.

Keywords

Cite

@article{arxiv.1809.03980,
  title  = {Complex dynamic of the system of nonlinear difference equations in the Hilbert space},
  author = {O. O. Pokutnyi},
  journal= {arXiv preprint arXiv:1809.03980},
  year   = {2018}
}