On the Characterization of a Class of Difference Equations | Zendy

Muhammed Altun | Zendy

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On the Characterization of a Class of Difference Equations

Author(s) -

Muhammed Altun

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/570139

Subject(s) - mathematics , toeplitz matrix , sequence (biology) , banach space , class (philosophy) , type (biology) , pure mathematics , focus (optics) , characterization (materials science) , space (punctuation) , triangular matrix , mathematical analysis , physics , computer science , ecology , genetics , artificial intelligence , optics , invertible matrix , biology , operating system

We focus on the behavior of solutions of the difference equation =1−1+2−2+⋯+0+, =1,2,…, where () is a fixed sequence of complex numbers, and () is a fixed sequence in a complex Banachspace. We give the general solution of this difference equation. To examine the asymptotic behaviorof solutions, we compute the spectra of operators which correspond to such type of difference equations. These operators are represented by upper triangular or lower triangular infinite banded Toeplitzmatrices

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