Green’s Functions for Nonhomogeneous Second Order Difference Equations

1996 ◽  
pp. 295-317
Author(s):  
Calvin D. Ahlbrandt ◽  
Allan C. Peterson
Keyword(s):  
Difference Equations ◽  
Green's Functions ◽  
Green’S Functions ◽  
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.

Ising Field Theory: Quadratic Difference Equations for then-Point Green's Functions on the Lattice

1981 ◽  
Vol 46 (12) ◽  
pp. 757-760 ◽  
Author(s):  
Barry M. McCoy ◽  
Jacques H. H. Perk ◽  
Tai Tsun Wu
Keyword(s):  
Field Theory ◽  
Difference Equations ◽  
Green's Functions ◽  
Green’S Functions

Spectrum theory of second-order difference equations with indefinite weight

2018 ◽  
Vol 8 (3) ◽  
pp. 971-985
Author(s):  
Ruyun Ma ◽  
Chenghua Gao ◽  
Yanqiong Lu
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Indefinite Weight ◽  
Order Difference
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