Liapunov functions and global existence
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- by Aaron Strauss PDF
- Bull. Amer. Math. Soc. 71 (1965), 519-520
References
- H. A. Antosiewicz, A survey of Lyapunov’s second method, Contributions to the theory of nonlinear oscillations, Vol. IV, Annals of Mathematics Studies, no. 41, Princeton University Press, Princeton, N.J., 1958, pp. 141–166. MR 0102643
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- Wolfgang Hahn, Theory and application of Liapunov’s direct method, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. English edition prepared by Siegfried H. Lehnigk; translation by Hans H. Losenthien and Siegfried H. Lehnigk. MR 0147716
- N. N. Krasovskiĭ, Stability of motion. Applications of Lyapunov’s second method to differential systems and equations with delay, Stanford University Press, Stanford, Calif., 1963. Translated by J. L. Brenner. MR 0147744
- A. Liapounoff, Problème Général de la Stabilité du Mouvement, Annals of Mathematics Studies, No. 17, Princeton University Press, Princeton, N. J.; Oxford University Press, London, 1947 (French). MR 0021186
- Aaron Strauss, Liapunov functions and $L^{p}$ solutions of differential equations, Trans. Amer. Math. Soc. 119 (1965), 37–50. MR 178203, DOI 10.1090/S0002-9947-1965-0178203-7
Additional Information
- Journal: Bull. Amer. Math. Soc. 71 (1965), 519-520
- DOI: https://doi.org/10.1090/S0002-9904-1965-11309-X
- MathSciNet review: 0173827