Characterization of First Order 2-dim Neutral Delay Difference Systems

This work is concerned with necessary and sufficient conditions for oscillation of all solutions of 2-dim first order neutral delay difference system with constant coefficient of the form: Δ x ( n ) - p x ( n - m ) y ( n ) - p y ( n - m ) = a b c d x ( n - α ) y ( n - β ) , n ≥ n 0 by constructing s...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 32; no. 4; pp. 1193 - 1213
Main Authors Tripathy, Arun K., Das, Sunita
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.10.2024
Springer Nature B.V
Subjects
Computer Science
Eigenvalues
Eigenvectors
Engineering
Mathematics
Mathematics and Statistics
Nonlinear systems
Original Research
39A13
Nonoscillation
34C10
Oscillation
Characteristic equation
Linearized oscillation
System of neutral difference equations
34K11
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Summary:This work is concerned with necessary and sufficient conditions for oscillation of all solutions of 2-dim first order neutral delay difference system with constant coefficient of the form: Δ x ( n ) - p x ( n - m ) y ( n ) - p y ( n - m ) = a b c d x ( n - α ) y ( n - β ) , n ≥ n 0 by constructing several suitable characteristic equations. Also, an effort has been made to apply some results to nonlinear neutral systems aheading linearized oscillation theory. Some examples are in the discussion to illustrate our results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-022-00618-7