The equivalence of linear and nonlinear differential equations

Herbst, Robert Taylor

doi:10.1090/S0002-9939-1956-0076115-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The equivalence of linear and nonlinear differential equations
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by Robert Taylor Herbst

Proc. Amer. Math. Soc. 7 (1956), 95-97

DOI: https://doi.org/10.1090/S0002-9939-1956-0076115-0

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References

Differentialgleichungen

Lösungsmethoden und Lösungen

Edmund Pinney, The nonlinear differential equation $y''+p(x)y+cy^{-3}=0$, Proc. Amer. Math. Soc. 1 (1950), 681. MR 37979, DOI 10.1090/S0002-9939-1950-0037979-4
J. M. Thomas, Equations equivalent to a linear differential equation, Proc. Amer. Math. Soc. 3 (1952), 899–903. MR 52001, DOI 10.1090/S0002-9939-1952-0052001-3
Joseph Miller Thomas, Orderly differential systems, Duke Math. J. 7 (1940), 249–290. MR 3323