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The Routh-Hurwitz criteria for the stability of solutions of linear differential equations of the fourth order are generalized for certain types of non-linear differential equations of the fourth order by the use of Lyapunov's function V. The method is similar to that of Barbasin and Simanov for third order equations, but yields somewhat less satisfactory results.
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M. L. Cartwright (1956) studied this question.
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