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

M. Lukachev·L. Shuster
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Abstract

We find a criterion for correct solvability in L_p(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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M. Lukachev, L. Shuster. 2007-04-17. Conditions for correct solvability of a first order linear differential equation in space L_p(R) and asymptotic properties of its solutions. https://arxiv.org/abs/math/0609752

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