EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 39(53), pp. 69--77 (1986)

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ON SOME CLASSES OF LINEAR EQUATIONS, V

Jovan D. Kecki\'c

Farmaceutski fakultet, Beograd, Yugoslavia

Abstract: The main object of this paper is to establish some conditions which ensure the validity of (1), where $A$, $B$ are linear operators on a vector space. The obtained results are then applied to the equation $P(L)u=0$, considered earlier in [1], [2], [3] where $P$ is a polynomial and $L$ a linear operator. This last result is applied o some partial differential equations considered in [6].

Classification (MSC2000): 15A06, 47A50, 35G05

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