Seminar on Differential Equations and Dynamical Systems

Part 1
Herausgegeben:Jones, G. S.

• Broschiertes Buch

Produktbeschreibung

Recent results in perturbation theory.- The existence of critical points in generalized dynamical systems.- Stability and existence of periodic and almost periodic solutions.- Asymptotic equivalence.- Extending Liapunov¿s second method to non-lipschitz Liapunov functions.- Characterizing solutions of the pontriagin maximum principle.- Liapunov functions and the existence of solutions tending to 0.- Fundamental matrix in linear functional differential equations.- Asymptotic stability for functional differential equations.- The use of Liapunov functions for global existence.- A remark on a result of Strauss.- Single species model for population growth depending on past history.- An extension of Chetaev¿s instability theorem using invariant sets and an example.

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Produktdetails

• Lecture Notes in Mathematics 60
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-04230-3
• 1968
• Seitenzahl: 116
• Erscheinungstermin: 1. Januar 1968
• Englisch
• Abmessung: 235mm x 155mm x 7mm
• Gewicht: 204g
• ISBN-13: 9783540042303
• ISBN-10: 354004230X
• Artikelnr.: 23319890

Inhaltsangabe

Recent results in perturbation theory.- The existence of critical points in generalized dynamical systems.- Stability and existence of periodic and almost periodic solutions.- Asymptotic equivalence.- Extending Liapunov's second method to non-lipschitz Liapunov functions.- Characterizing solutions of the pontriagin maximum principle.- Liapunov functions and the existence of solutions tending to 0.- Fundamental matrix in linear functional differential equations.- Asymptotic stability for functional differential equations.- The use of Liapunov functions for global existence.- A remark on a result of Strauss.- Single species model for population growth depending on past history.- An extension of Chetaev's instability theorem using invariant sets and an example.