Theory of Causal Differential Equations [electronic resource] / by V. Lakshmikantham, S. Leela, Zahia Drici, F. A. McRae.
By: Lakshmikantham, V [author.].
Contributor(s): Leela, S [author.] | Drici, Zahia [author.] | McRae, F. A [author.] | SpringerLink (Online service).
Material type:
BookSeries: Atlantis Studies in Mathematics for Engineering and Science: 5Publisher: Paris : Atlantis Press, 2010Description: XI, 208p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789491216251.Subject(s): Mathematics | Differential Equations | Differential equations, partial | Mathematics | Ordinary Differential Equations | Partial Differential EquationsDDC classification: 515.352 Online resources: Click here to access online Preliminaries -- Basic Theory -- Theoretical ApproximationMethods -- Stability Theory -- Miscellaneous Topics in Causal Systems.
The theory of causal differential equations (CDE) includes several types of dynamic systems such as ordinary differential equations, functional differential equations, integro-differential equations (with or without memory), differential equations with anticipation and retardation. This is the first book which describes the theory of CDE as an independent discipline, incorporating the recent general theory of CDE and introducing several new ideas. This book is a timely introduction to the subject in a more generalised frame work. The present monograph collects recent works in this broad area and provides possible extensions to other dynamic systems involving causal operators such as CDE in abstract spaces, CDE with memory, CDE with fractional derivatives and causal set differential equations-giving initial apparatus, for further study in this important branch of nonlinear analysis.
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