Oscillatory behavior for nonlinear homogeneous neutral difference equations of second order with coefficient changing sign

Date

2020-08-12

Authors

Bhuyan, Ajit Kumar
Padhy, Laxmi Narayan
Rath, Radhanath

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we obtain sufficient conditions so that all solutions of the neutral difference equation ∆2(yn - pnL(yn - s)) + qnG(yn - k) = 0, and all unbounded solutions of the neutral difference equation ∆2(yn - pnL(yn - s)) + qn</sub>G(yn - k) - unH(yα(n)) = 0 are oscillatory, where ∆yn = yn+1 - yn, ∆2yn = ∆(∆yn). Different types of super linear and sub linear conditions are imposed on G to prevent the solution approaching zero or ±∞.

Description

Keywords

Oscillatory solution, Nonoscillatory solution, Asymptotic behavior, Difference equation

Citation

Bhuyan, A. K., Padhy, L. N., & Rath, R. (2020). Oscillatory behavior for nonlinear homogeneous neutral difference equations of second order with coefficient changing sign. <i>Electronic Journal of Differential Equations, 2020</i>(87), pp. 1-14.

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Attribution 4.0 International

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