Library of American University of Madaba
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Lakshmikantham, V.
Theory of Causal Differential Equations [electronic resource] / by V. Lakshmikantham, S. Leela, Zahia Drici, F. A. McRae. - XI, 208p. online resource. - Atlantis Studies in Mathematics for Engineering and Science, 5 1875-7642 ; .
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.
9789491216251
Mathematics.
Differential Equations.
Differential equations, partial.
Mathematics.
Ordinary Differential Equations.
Partial Differential Equations.
QA372
515.352
Theory of Causal Differential Equations [electronic resource] / by V. Lakshmikantham, S. Leela, Zahia Drici, F. A. McRae. - XI, 208p. online resource. - Atlantis Studies in Mathematics for Engineering and Science, 5 1875-7642 ; .
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.
9789491216251
Mathematics.
Differential Equations.
Differential equations, partial.
Mathematics.
Ordinary Differential Equations.
Partial Differential Equations.
QA372
515.352