Premium
On Linear Differential Equations in Spaces of Locally Integrable Functions and of Mikusiński Operators
Author(s) -
Pap Endre,
Takači Djurdjica
Publication year - 1990
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211480112
Subject(s) - mathematics , integrable system , locally integrable function , differential operator , convergence (economics) , operator (biology) , mathematical analysis , representation (politics) , space (punctuation) , linear differential equation , field (mathematics) , differential equation , pure mathematics , biochemistry , chemistry , linguistics , philosophy , repressor , politics , political science , transcription factor , law , economics , gene , economic growth
In this paper the convergence rates of the solutions of linear operator differential equation in the space L of locally integrable functions on (0, ∞) and in the eubalgebra F o , of the field F of Mikuński operators are investigated. In particular it is shown that if the solution belongs to L then its corresponding representation converges in L .