On Linear Differential Equations in Spaces of Locally Integrable Functions and of Mikusiński Operators | Zendy

Pap Endre | Zendy; Takači Djurdjica | Zendy

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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 .

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