Detail publikace

Asymptotic properties of solutions of nonlinear systems of dynamic equations on time scales

Originální název

Asymptotic properties of solutions of nonlinear systems of dynamic equations on time scales

Anglický název

Asymptotic properties of solutions of nonlinear systems of dynamic equations on time scales

Jazyk

en

Originální abstrakt

In this paper we study asymptotic properties of solutions of nonlinear dynamic systems on time scales. For a given set Omega, we formulate conditions which guarantee that at least one solution of the studied system stays in Omega. Unlike previous papers, we assume the set Omega in more general shape or we formulate the conditions guaranteeing an existence of bounded solution in easier and better verifiable form. Thanks to this, we can find a wider range of equations with bounded solutions. The example illustrating this type of equations is added.

Anglický abstrakt

In this paper we study asymptotic properties of solutions of nonlinear dynamic systems on time scales. For a given set Omega, we formulate conditions which guarantee that at least one solution of the studied system stays in Omega. Unlike previous papers, we assume the set Omega in more general shape or we formulate the conditions guaranteeing an existence of bounded solution in easier and better verifiable form. Thanks to this, we can find a wider range of equations with bounded solutions. The example illustrating this type of equations is added.

BibTex


@inproceedings{BUT138131,
  author="Jiří {Vítovec}",
  title="Asymptotic properties of solutions of nonlinear systems of dynamic equations on time scales",
  annote="In this paper we study asymptotic properties of solutions
 of nonlinear dynamic systems on time scales. For a given set Omega, we formulate conditions which 
guarantee that at least one solution of the studied system stays in Omega.  Unlike previous papers, we assume the set Omega in more general shape or we formulate the conditions guaranteeing an existence of bounded solution in easier and better verifiable form.
Thanks to this, we can find a wider range of equations with bounded solutions. The example illustrating this type of equations is added.",
  address="American Institute of Physics",
  booktitle="INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS",
  chapter="138131",
  doi="10.1063/1.4992648",
  edition="ICNAAM 2016",
  howpublished="online",
  institution="American Institute of Physics",
  number="480012",
  year="2017",
  month="july",
  pages="1--4",
  publisher="American Institute of Physics",
  type="conference paper"
}