scholarly journals Oscillation properties of second-order quasilinear difference equations with unbounded delay and advanced neutral terms

2021 ◽  
pp. 1-14
Author(s):  
George E. Chatzarakis ◽  
Ponnuraj Dinakar ◽  
Srinivasan Selvarangam ◽  
Ethiraju Thandapani
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Unbounded Delay ◽  
Oscillation Properties

scholarly journals Nonlinear Second Order Impulsive Difference Equations and their Oscillation Properties

2020 ◽  
Vol 76 (1) ◽  
pp. 171-190
Author(s):  
Arun Kumar Tripathy ◽  
Gokula Nanda Chhatria
Keyword(s):  
Difference Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Impulsive Effect ◽  
Oscillation Properties ◽  
Oscillation And Nonoscillation

AbstractIn this work, we state and discuss the sufficient conditions for oscillation and nonoscillation of a class of nonlinear second order neutral impulsive difference equations with fixed moments of impulsive effect for various ranges of the neutral coefficient p(n).

scholarly journals Sharp Lyapunov-type inequalities for second-order half-linear difference equations with different kinds of boundary conditions

2021 ◽  
Vol 115 (3) ◽  
Author(s):  
Robert Stegliński
Keyword(s):  
Difference Equation ◽  
Boundary Conditions ◽  
Difference Equations ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Second Order ◽  
Linear Difference Equations ◽  
Order Difference ◽  
Second Order Difference Equation ◽  
Order Difference Equation

AbstractIn this work, we establish optimal Lyapunov-type inequalities for the second-order difference equation with p-Laplacian $$\begin{aligned} \Delta (\left| \Delta u(k-1)\right| ^{p-2}\Delta u(k-1))+a(k)\left| u(k)\right| ^{p-2}u(k)=0 \end{aligned}$$ Δ ( Δ u ( k - 1 ) p - 2 Δ u ( k - 1 ) ) + a ( k ) u ( k ) p - 2 u ( k ) = 0 with Dirichlet, Neumann, mixed, periodic and anti-periodic boundary conditions.

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