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

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

2006-09-27

arxiv.org/abs/math/0609752v3

Mathematics

Classical Analysis and ODEs

Some improvements. The definition of asymptotic majorant of solutions was replaced to be correct

Scientific paper

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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