arXiv subjects

O. A. Pokutnyi

Publications and source records attributed to O. A. Pokutnyi.

2 recordsLinked to original sources

arXiv2018

Bifurcation of solutions of the second order boundary value problems in the Hilbert spaces

Conditions of the existence of solutions of linear and perturbed linear boundary value problems in the Hilbert spaces for the second order evolution equation are obtained.

math.DS↗

arXiv2014

Bounded solutions of the finite and infinite-dimensional dynamical systems

Invariant torus are constructed under assumption that the homogeneous system admits an exponential dichotomy on the semi-axes. The main result is closely related with the well-known Palmer's lemma and results of Boichuk A.A., Samoilenko A.M.

math.DS↗