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Theory of Causal Differential Equations

by Lakshmikantham, V.
Authors: Leela, S.%author. | Drici, Zahia.%author. | McRae, F. A.%author. | SpringerLink (Online service) Series: Atlantis Studies in Mathematics for Engineering and Science, 1875-7642 ; . 5 Physical details: XI, 208p. online resource. ISBN: 9491216252 Subject(s): Mathematics. | Differential Equations. | Differential equations, partial. | Mathematics. | Ordinary Differential Equations. | Partial Differential Equations.
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E-Book E-Book AUM Main Library 515.352 (Browse Shelf) Not for loan

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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