Differential Equations Projector Analysis on Time Scales 1st Edition

Author(s): Svetlin G. Georgiev; Khaled Zennir
Publisher: De Gruyter
ISBN: 9783111375090
Edition: 1st Edition

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Description

Description

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.