Oscillatory and Asymptotic Behavior of a First-Order Neutral Equation of Discrete Type with Variable Several Delay under Δ Sign
Joint Authors
Rath, R. N.
Behera, Chittaranjan
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We obtain necessary and sufficient conditions so that every solution of neutral delay difference equation Δyn-∑j=1kpnjyn-mj+qnG(yσ(n))=fn oscillates or tends to zero as n→∞, where {qn} and {fn} are real sequences and G∈C(R,R), xG(x)>0, and m1,m2,…,mk are positive integers.
Here Δ is the forward difference operator given by Δxn=xn+1-xn, and {σn} is an increasing unbounded sequences with σn≤n.
This paper complements, improves, and generalizes some past and recent results.
American Psychological Association (APA)
Rath, R. N.& Behera, Chittaranjan. 2018. Oscillatory and Asymptotic Behavior of a First-Order Neutral Equation of Discrete Type with Variable Several Delay under Δ Sign. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173475
Modern Language Association (MLA)
Rath, R. N.& Behera, Chittaranjan. Oscillatory and Asymptotic Behavior of a First-Order Neutral Equation of Discrete Type with Variable Several Delay under Δ Sign. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1173475
American Medical Association (AMA)
Rath, R. N.& Behera, Chittaranjan. Oscillatory and Asymptotic Behavior of a First-Order Neutral Equation of Discrete Type with Variable Several Delay under Δ Sign. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173475
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173475