OSCILLATORY AND ASYMPTOTIC SOLUTIONS OF QUASILINEAR THIRD-ORDER DELAY DIFFERENCE EQUATIONS

In this research, we deals with the quasilinear third order delay difference equations of the term Δ ( ρ ( n ) ( Δ 2 y ( n ) ) α ) + q ( n ) y α ( n − σ ) = 0 , n ⩾ n 0 . We establish the sufficient conditions for all solutions of studied equation to be oscillatory or almost oscillatory. The criteri...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-05, Vol.1850 (1), p.12123
Main Authors: Revathy, S, Kodeeswaran, R
Format: Article
Language:English
Subjects:
Asymptotic methods
Delay
Difference equations
Mathematical analysis
Oscillatory solution
Third-order
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Summary:In this research, we deals with the quasilinear third order delay difference equations of the term Δ ( ρ ( n ) ( Δ 2 y ( n ) ) α ) + q ( n ) y α ( n − σ ) = 0 , n ⩾ n 0 . We establish the sufficient conditions for all solutions of studied equation to be oscillatory or almost oscillatory. The criteria improve and complement of existing results. We provide some examples to describe the major results.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1850/1/012123