Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On Computer-Assisted Proving The Existence Of Periodic And Bounded Orbits

100%

Srzednicki R.

Annales Mathematicae Silesianae

2015

tom 29

nr 1

7-17

We announce a new result on determining the Conley index of the Poincaré map for a time-periodic non-autonomous ordinary differential equation. The index is computed using some singular cycles related to an index pair of a small-step discretization of the equation. We indicate how the result can be applied to computer-assisted proofs of the existence of bounded and periodic solutions. We provide also some comments on computer-assisted proving in dynamics.

Differential equations associated with generalized Bell polynomials and their zeros

84%

Ryoo S. C.

Open Mathematics

2016

tom 14

nr 1

807-815

In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.

Ograniczanie wyników

1 Annales Mathematicae Silesianae

1 Open Mathematics

1 Ryoo S. C.

1 Srzednicki R.

1 2016

1 2015

Wyniki wyszukiwania

On Computer-Assisted Proving The Existence Of Periodic And Bounded Orbits

Differential equations associated with generalized Bell polynomials and their zeros