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On Generalized Solutions of Some Differential Equations with Singular Coefficients
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Date
2022Publisher
State University of Novi PazarCitation
Antonevich, A. B. On Generalized Solutions of Some Differential Equations with Singular Coefficients / A. B. Antonevich, E. V. Kuzmina // Scientific Publications of the State University of Novi Pazar. Series A: Applied Mathematics, Informatics and Mechanics. – 2022. – Vol. 14, № 1. – P. 1–11.Abstract
The article deals with the problem of existence of generalized solutions to simplest
linear differential equation with a singular coefficient q. The generalized solution was introduced
by choice one of the distribution Q corresponding q, and choice an approximation of Q
by a family of common functions. The generalized solution is defined as the limit of the solutions
of the approximating equations. It was demonstrated by model example that the existence
of such generalized solutions depends essentially on the method of approximation.
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