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AN INVARIANCE PRINCIPLE IN THE THEORY OF STABILITY

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[l] Yoshizawa, T.,<br />

Ret'erences<br />

Asymptotic behavior of solutions of a system<br />

of differential equations, Contrib. to Diff. Eq., 1(1963),<br />

371-387<br />

[2] Hale, J., Sufficient conditions for stability and instability<br />

of autonomous functional differential equations, J. of Diff.<br />

Eq., 1(1963), 432-482.<br />

[3] LaSalle, J., Some extensions of Liapunov's second method, IRE<br />

Trans. on Circuit Theory, CT-7 (1$0), 320-527.<br />

[4] LaSalle, J., Asymptotic stability criteria, Proc. of Symposia<br />

in Applied Mathematics, Vol. 13, Hydrodynamic Instability,<br />

Amer. Math. SOC., Providence, R.I., 1962, 299-307.<br />

[3] LaSslle, J., and Lefschetz, So, Stability by Liapunov's Direct<br />

Method with Applications, Academic Press, New York, 1961.<br />

[6] Miller, R,, On almost periodic differential equations, Bul.<br />

Amer. Math. SOC o , 70 (l964), 792-793<br />

[7] Miller, R., Asymptotic behavior of nonlinear delay-differential<br />

equatLms, J, of Diff. Eq., 3(1965), 293-305.<br />

[8] Krasovskii, N.N., Stability of Motion, StanYmi University Press,<br />

1963 (translation of 1939 Russian Edition).<br />

[9] Hale, J., "Geometric theory of functional differential equations",<br />

Proc. of An International Symposium on Differential Equations<br />

and Dynamical Systems, University of Puerto Rico,Mayaguez, P. R.,<br />

Dec. 1963, Academic Press, New York (to appear).

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