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The Quarterly Journal of Mechanics and Applied Mathematics 1956 9(2):185-194; doi:10.1093/qjmam/9.2.185
© 1956 by Oxford University Press
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ON THE STABILITY OF SOLUTIONS OF CERTAIN DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER

M. L. CARTWRIGHT

( Girton College Cambridge )

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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