Differential equations: projector analysis on time scales

This book presents a projector analysis of dynamic systems on time scales. The dynamic systems are classified as first, second, third and fourth kinds. For each classes of dynamic systems the basic matrix chains are constructed. The proposed theory is applied for decoupling of dynamic equations on t...

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Bibliographic Details
Main Authors: Georgiev, Svetlin 1974- (Author), Zennir, Khaled 1982- (Author)
Format: Electronic eBook
Language:English
Published: Berlin ; Boston De Gruyter [2024]
© 2024
Subjects:
Online Access:DE-1043
DE-1046
DE-858
DE-898
DE-859
DE-860
DE-91
DE-703
DE-20
DE-739
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Summary:This book presents a projector analysis of dynamic systems on time scales. The dynamic systems are classified as first, second, third and fourth kinds. For each classes of dynamic systems the basic matrix chains are constructed. The proposed theory is applied for decoupling of dynamic equations on time scales. Properly involved derivatives, constraints and consistent initial values for the considered equations are defined. A linearization for nonlinear dynamic systems is introduced and the total derivative for regular linearized equations with tractability index one is investigated
Physical Description:1 Online-Ressource (X, 461 Seiten)
ISBN:9783111377155
9783111377711
DOI:10.1515/9783111377155

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