ON THE STABILITY OF SOLUTIONS OF CERTAIN DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER

1 January 1956

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 9 (2) , 185-194
https://doi.org/10.1093/qjmam/9.2.185

Abstract

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.

Keywords

LINEAR DIFFERENTIAL
ROUTH HURWITZ
ORDER EQUATIONS
LYAPUNOV'S FUNCTION
SATISFACTORY RESULTS
HURWITZ CRITERIA