References
- Perron , O. 1930 . Die Stabilitätsfrage bei Differentialgleichungen . Mathematische Zeitschrift , 32 ( 5 ) : 703 – 728 .
- Pilyugin , S.Yu. 1999 . “ Shadowing in dynamical systems ” . In Lecturer Notes in Mathematics , Vol. 1706 , New York : Springer-verlag .
- Maizel' , A.D. 1954 . Stability of solutions of systems of differential equations . Trudy Ural'skogo Politekhnicheskogo Instituta, Seriya Matematika , 51 : 20 – 50 .
- Coppel , W.A. 1964 . On the stability of ordinary differential equations . Journal of the London Mathematical Society , 39 : 255 – 260 .
- Pliss , V.A. 1977 . Bounded solutions of nonhomogeneous linear systems of differential equations . Problems of Asymptotic Theory and Nonlinear Oscillations, Kiev , : 168 – 173 .
- Palmer , K.J. 1984 . Exponential dichotomies and transversal homoclinic points . Journal of Differential Equations , 55 : 225 – 256 .
- Palmer , K.J. 1988 . Exponential dichotomies and Fredholm operators . Proceedings of the American Mathematical Society , 104 : 149 – 156 .
- Pliss , V.A. 1977 . Uniformly bounded solutions of linear systems of differential equations . Differentsialnye Uravneniya , 13 : 883 – 891 .
- Pliss , V.A. 1980 . Sets of linear systems of differential equations with uniformly bounded solutions . Differentsialnye Uravneniya , 16 : 1599 – 1616 .
- Robbin , J.W. 1971 . A structural stability theorem . Annals of Mathematics , 94 : 447 – 493 .
- Pilyugin , S.Yu. Transversality and local inverse shadowing . Regular Chaotic Dynamics , to appear
- Latushkin , Yu. and Tomilov , Yu . 2005 . Fredholm differential operators with unbounded coefficients . Journal of Differential Equations , 208 : 388 – 429 .
- Pilyugin , S.Yu. 1997 . Shadowing in structurally stable flows . Journal of Differential Equations , 140 : 238 – 265 .