Georgiev S Differential Equations Projector Analysis on Time Scales 2024
General:
Name: Georgiev S Differential Equations Projector Analysis on Time Scales 2024
Format: pdf
Size: 3.8 MB
Book:
Title: Differential Equations: Projector Analysis on Time Scales
Author: Svetlin G. Georgiev, Khaled Zennir
Language: angielski
Year: 2024
Subjects: Science & Technology, Mathematics, Mathematical Analysis, Mathematical Equations, Mathematical Analysis – Functional Analysis, Mathematical Equations – Differential, Mathematics – Applied, Matrices & Determinants
Publisher: De Gruyter
ISBN: 9783111377711
Total pages: 472
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.
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