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
Journal Title
Journal ISSN
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.
Rights
Attribution 4.0 International