论文信息 - A local Hopf Bifurcation Theorem for difierential equations with state - dependent delays

A local Hopf Bifurcation Theorem for difierential equations with state - dependent delays

My parents, my sister and all my friends who helped me and prayed for me throughout the work on my thesis My God and heavenly father for never leaving me alone, for the love and patience He granted me The Rector of my congregation in Rabenau-Kesselbach and all my brothers and sisters for their prayers The Konrad-Adenauer-Foundation which granted a Ph.D.-scholarship for three years and supported my stay in Toronto (Canada) from November 2004 until March 2005 My friends Jason and Andreas from Toronto who helped me much with the presentation of this thesis in English

Markus Eichmann | M. Eichmann

[1] Wenzhang Huang,et al. On the problem of linearization for state-dependent delay differential equations , 1996 .

[2] Jianhong Wu. Theory and Applications of Partial Functional Differential Equations , 1996 .

[3] Hans-Otto Walther,et al. The solution manifold and C1-smoothness for differential equations with state-dependent delay , 2003 .

[4] Hal L. Smith. Hopf Bifurcation in a System of Functional Equations Modeling the Spread of an Infectious Disease , 1983 .

[5] Tibor Krisztin,et al. A local unstable manifold for differential equations with state-dependent delay , 2003 .

[6] Hans-Otto Walther,et al. Stable Periodic Motion of a System Using Echo for Position Control , 2003 .

[7] S. Lunel,et al. Delay Equations. Functional-, Complex-, and Nonlinear Analysis , 1995 .

[8] Jack K. Hale,et al. Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[9] D. Wrzosek,et al. Proceedings of the Royal Society of Edinburgh , 1940, Nature.

[10] G. Sell,et al. The Hopf Bifurcation and Its Applications , 1976 .

[11] Bernd Tibken,et al. Differential Equations with State-Dependent Delays , 2001 .