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Conditions for correct solvability of a first order linear differential equation in space Lp(R) and asymptotic properties of its solutions

M. Lukachev, L. Shuster

math.CAarXiv:math/0609752

Abstract

We find a criterion for correct solvability in Lp(R) of a linear differential equation of a first order with non-negative locally integrated coefficient and study the asymptotic properties of its solutions.

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