Published: 1997-09-30

Unified approach to bounded, periodic and almost periodic solutions of differential systems

Jan Andres , Bohumil Krajc

Abstract

The criteria for an entirely bounded solution of a quasi-linear differential system are developed via asymptotic boundary value problems. The same principle allows us to deduce at the same time the existence of periodic orbits, when assuming additionally periodicity in time variables of the related right-hand sides. For almost periodicity, the situation is unfortunately not so straightforward. Nevertheless, for the Lipschitzean uniformly almost periodic (in time variables) systems, we are able to show that every bounded solution becomes almost periodic as well.

Download files

Citation rules

Andres, J., & Krajc, B. (1997). Unified approach to bounded, periodic and almost periodic solutions of differential systems. Annales Mathematicae Silesianae, 11, 39–53. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14183

Similar Articles

1 2 3 4 5 > >> 

You may also start an advanced similarity search for this article.

Domyślna okładka

Vol. 11 (1997)
Published: 1997-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

This website uses cookies for proper operation, in order to use the portal fully you must accept cookies.