A Note on Stability by Schauder's Theorem

MR1847837 T. A. BURTON and Tetsuo FURUMOCHI T. A. BURTON and Tetsuo FURUMOCHI A Note on Stability by Schauder's Theorem Funkcialaj Ekvacioj. Serio Internacia 44 2001 73--82 http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol44/fe44-1-4.pdf http://www.ams.org/mathscinet-getitem?mr=MR1847837 44-73 2001 A Note on Stability by Schauder's Theorem T. A. BURTON and Tetsuo FURUMOCHI T. A. BURTON and Tetsuo FURUMOCHI 1 Bellman, R. Stability Theory of Dilerential Equations McGraw-Hill, New York 1953 MR0061235 2 Coddington, E. A.; Levinson, N. Theory of Ordinary Differential Equations McGraw-Hill, New York 1955 MR0069338 3 Hale, Jack K. Ordinary Differential Equations Wiley, New York 1969 MR0419901 4 Hartman, Philip Ordinary Differential Equations Wiley, New York 1964 MR0171038

5 Hatvani, L. Integral conditions on the asymptotic stability for the damped linear oscillator with small damping Proc. Amer. Math. Soc. 124 1996 415-422 MR1317039

6 Smart, D. R. Fixed point Theorems Cambridge Univ. Press, Cambridge 1974 MR0467717 7 Yoshizawa, T. Stability Theory by Liapunov's Second Method Math. Soc. Japan, Tokyo 1966 MR0208086