A note on Ważewski principle and Conley index

• Autorzy: Rybakowski K. P.
• Konferencja: 6th European Congress of Mathematics, 2-7 July 2012 Kraków
• Języki publikacji: EN

Słowa kluczowe

EN

Ważewski Tadeusz; Conley index; Ważewski Retract Principle

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Wiadomości Matematyczne
• Rocznik: 2012
• Tom: T. 48, Nr 2
• Strony: 223--237
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Rybakowski K. P.

• Institut für Mathematik Universität Rostock Ulmenstraße 69 Haus 3 18057 Rostock Germany

Bibliografia

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• [2] M. C. Carbinatto, K. P. Rybakowski, Conley index continuation and thin domain problems, Topological Methods in Nonl. Analysis 16 (2000), 201-251.
• [3] M. C. Carbinatto, K. P. Rybakowski, On a general Conley index continuation principle for singular perturbation problems, Ergod. Th. & Dynam. Sys. 22 (2002), 729-755-
• [4] M. C. Carbinatto, K. P. Rybakowski, Nested index filiations and continuation of the connection matrix, J. Differential Equations 207 (2004), 458-488.
• [5] M. C. Carbinatto, K. P. Rybakowski, Localized singularities and the Conley index, Topological Methods in Nonl. Analysis 37 (2011), 1-36.
• [6] C. Conley, Isolated Invariant Sets and the Morse Index, CBMS Regional Conference Series in Mathematics, vol. 38, American Mathematical Society, Providence, R.I. 1978.
• [7] A. Ćwiszewski, K. P. Rybakowski, Singular dynamics of the Strongly dumped beam equation, Journal of Differential Equations 247 (2009), 3202-3233.
• [8] E. N. Dancer, Conley indices on convex sets, attractor-repeller pairs and applications to multiple solutions of nonlinear parabolic equations, J. Fixed Point Theory and Appl. 1 (2007), 47-60.
• [9] R. D. Franzosa, K. Mischaikow, Thr connection matrix theory for semiflows on (not necessarily locally compact) metric spaces, J. Differential Equations 71 (1988), 270-287.
• [10] D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, vol. 840, Springer-Verlag, New York 1981.
• [11] A. Jänig, The Conley index along heteroclinic solutions of reaction-diffusion equations, J. Differential Equations 252 (2012), 4410-4454.
• [12] K. P. Rybakowski, On the homotopy index for infinite-dimensional semiflows, Trans. Amer. Math. Soc. 269 (1982), 351-382.
• [13] K. P. Rybakowski, The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces, J. Differential Equations 47 (1983), 66-98.
• [14] K. P. Rybakowski, The Homotopy Index and Partial Differential Equations, Springer-Verlag, Berlin 1987.
• [15] K. P. Rybakowski, On curved squeezing and Conley index, Topological Methods in Nonl. Analysis 38 (2011), 207-232.
• [16] K. P. Rybakowski, E. Zehnder, On a Morse equation in Conley’s index theory for semiflows on metric spaces, Ergodic Theory and Dynamical Systems 5 (1985), 123-143.
• [17] R. Srzednicki, Ważewski Method and Conley Index, in: Handbook of Differential Equations: Ordinary Differential Equations, vol. 1, Elsevier, Amsterdam 2004, 591-684.
• [18] T. Ważewski, Sur un principe topologique de l’examen de l’allure asymptotique des intégrales des équations différentielles ordinaires, Annales de la Soc. Pol. De Math. 20 (1947), 279-313.