EXISTENCE OF NONOSCILLATORY SOLUTIONS FOR SYSTEM OF NEUTRAL DIFFERENCE EQUATIONS

The system of neutral type difference equations with delays { Δ ( x ( n ) + p ( n ) x ( n − τ ) ) = a ( n ) f ( y ( n − l ) ) Δ y ( n ) = b ( n ) g ( z ( n − m ) ) Δ z ( n ) = c ( n ) h ( x ( n − k ) ) is considered. The aim of this paper is to present sufficient conditions for the existence of nono...

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Bibliographic Details
Published in:Applicable analysis and discrete mathematics 2015-10, Vol.9 (2), p.271-284
Main Authors: Migda, Małgorzata, Schmeidel, Ewa, Zdanowicz, Małgorzata
Format: Article
Language:English
Subjects:
Banach space
Diagonal lemma
Difference equations
Real numbers
Sufficient conditions
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Summary:The system of neutral type difference equations with delays { Δ ( x ( n ) + p ( n ) x ( n − τ ) ) = a ( n ) f ( y ( n − l ) ) Δ y ( n ) = b ( n ) g ( z ( n − m ) ) Δ z ( n ) = c ( n ) h ( x ( n − k ) ) is considered. The aim of this paper is to present sufficient conditions for the existence of nonoscillatory bounded positive solutions of the considered system with various (p(n)).
ISSN:1452-8630
2406-100X
DOI:10.2298/AADM150811016M