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Geometric relation between two different types of initial conditions of singular systems of fractional nabla difference equations
Author(s) -
Dassios I. K.
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3771
Subject(s) - mathematics , nabla symbol , pencil (optics) , connection (principal bundle) , eigenvalues and eigenvectors , mathematical analysis , constant (computer programming) , type (biology) , pure mathematics , space (punctuation) , relation (database) , geometry , mechanical engineering , ecology , linguistics , philosophy , physics , quantum mechanics , database , computer science , engineering , omega , biology , programming language
In this article, we study the geometric relation between two different types of initial conditions (IC) of a class of singular linear systems of fractional nabla difference equations whose coefficients are constant matrices. For these kinds of systems, we analyze how inconsistent and consistent IC are related to the column vector space of the finite and the infinite eigenvalues of the pencil of the system and analyze the geometric connection between these two different types of IC. Numerical examples are given to justify the results. Copyright © 2015 John Wiley & Sons, Ltd.