The asymptotic behavior of nonoscillatory solutions of nonlinear neutral type difference equations |
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Authors: | E Thandapani R Arul PS Raja |
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Institution: | Department of Mathematics, Periyar University Salem-636011, Tamil Nadu, India;Department of Mathematics, Kandaswami Kandar's College Velur-638 182 Namakkal DT, Tamil Nadu, India |
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Abstract: | In this paper, the authors study the asymptotic behavior of solutions of second-order neutral type difference equations of the form Δ2(yn+pyn−k)+f(n,yn−ℓ)=0,n | , n ε, and Δ2(yn+pyn−k)+f(n,yn−ℓ,Δyn−ℓ)=0,n ,n ε using some difference inequalities. We establish conditions under which all nonoscillatory solutions are asymptotic to an + b as n → ∞ with a and b ε .
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Keywords: | Neutral type difference equation Asymptotic behavior Nonoscillatory solution |
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