Abstract
A class of (n+1)th-order homogeneous linear differential equations (n > 1) is found for which fundamental solutions can be constructed from fundamental solutions to second-order differential equations. Asymptotic formulas for solutions to equations from this class are presented.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 38, Suzdal Conference-2004, Part 3, 2006.
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Konechnaya, N.N. The asymptotic behavior of solutions for a class of differential equations. J Math Sci 147, 6430–6434 (2007). https://doi.org/10.1007/s10958-007-0477-7
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DOI: https://doi.org/10.1007/s10958-007-0477-7