Reconstruction of potential and boundary conditions for second order difference equations

2019 ◽  
Vol 58 (1−2) ◽  
Author(s):  
Sonja Currie ◽  
Anne Love
Keyword(s):  
Boundary Conditions ◽  
Difference Equations ◽  
Second Order ◽  
Order Difference

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.

scholarly journals Positive Solutions for Systems of Second-Order Difference Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Johnny Henderson ◽  
Rodica Luca
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Difference Equations ◽  
Second Order ◽  
Order Difference ◽  
Multipoint Boundary ◽  
Existence And Nonexistence ◽  
Multipoint Boundary Conditions

We study the existence and nonexistence of positive solutions of some systems of nonlinear second-order difference equations subject to multipoint boundary conditions which contain some positive constants.

Existence and nonexistence of positive solutions to a discrete boundary value problem

2017 ◽  
Vol 33 (2) ◽  
pp. 181-190
Author(s):  
JOHNNY HENDERSON ◽  
◽  
RODICA LUCA ◽  
ALEXANDRU TUDORACHE ◽  
◽  
...  
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Difference Equations ◽  
Boundary Value ◽  
Second Order ◽  
Point Boundary ◽  
Order Difference ◽  
Discrete Boundary Value Problem ◽  
Existence And Nonexistence

We study the existence and nonexistence of positive solutions for a system of nonlinear second-order difference equations subject to coupled multi-point boundary conditions which contain some positive constants.

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