- Tytuł:
- Properties of entire solutions of some linear PDEs
- Autorzy:
-
Bandura, A,
Skaskiv, O.
Filevych, P. - Powiązania:
- https://bibliotekanauki.pl/articles/122451.pdf
- Data publikacji:
- 2017
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
linear partial differential equation
entire function
bounded L-index in direction
bounded l-index
homogeneous linear differential equation
growth of solutions
liniowe równanie różniczkowe cząstkowe
funkcja całkowita
równanie różniczkowe cząstkowe - Opis:
- In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction for entire solutions of some linear partial differential equations. They are new even for the one-dimensional case and L≡1. Also, we found a positive continuous function l such that entire solutions of the homogeneous linear differential equation with arbitrary fast growth have a bounded l -index and estimated its growth.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 2; 17-28
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki