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An invariance principle for compact processes. (English) Zbl 0236.34038

J. Differ. Equations 9, 239-252; Erratum. Ibid. 10, 179-180 (1971).

MSC:

34D20 Stability of solutions to ordinary differential equations
37-XX Dynamical systems and ergodic theory

References:

[1] Lasalle, J. P.: The extent of asymptotic stability. Proc. nat. Acad. sci. USA 46, 363-365 (1960) · Zbl 0094.28602
[2] Barbashin, E. A.; Krasovskii, N. N.: Stability of motion in the large. Dokl. akad. Nauk SSSR 86, 453-456 (1952)
[3] Hale, J. K.: Dynamical systems and stability. J. math. Anal. appl. 26, 39-59 (1969) · Zbl 0179.13303
[4] Markus, L.: Asymptotically autonomous differential systems. Contributions to the theory of nonlinear oscillations 3, 17-29 (1956) · Zbl 0075.27002
[5] Opial, Z.: Sur la dépendance des solutions d’un système d’équations différentielles de leur seconds membres. Application aux systèmes presque autonomes. Ann. polon. Math. 8, 75-89 (1960) · Zbl 0093.09002
[6] Lasalle, J. P.: Asymptotic stability criteria. Proc. symp. Appl. math. 13, 299-307 (1962) · Zbl 0107.29303
[7] Miller, R. K.: Asymptotic behavior of solutions of nonlinear differential equations. Trans. amer. Math. soc. 115, 400-416 (1965) · Zbl 0137.28202
[8] Sell, G. R.: Nonautonomous differential equations and topological dynamics. II. limiting equations. Trans. amer. Math. soc. 127, 263-283 (1967) · Zbl 0189.39602
[9] Miller, R. K.: Asymptotic behavior of nonlinear delay-differential equations. J. diff. Eqs. 1, 293-305 (1965) · Zbl 0151.10203
[10] M. Slemrod, Asymptotic behavior of periodic dynamical systems on Banach spaces, Ann. Mat. Pura Appl., in press. · Zbl 0205.43105
[11] C. M. Dafermos, Asymptotic stability in viscoelasticity, Arch. Rat. Mech. Anal., in press. · Zbl 0214.24503
[12] C. M. Dafermos, Applications of the invariance principle for compact processes. J. Diff. Eqs., in press. · Zbl 0247.34068
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