Ultrasonic wave interaction with a thin anisotropic layer between two anisotropic solids. II. Second‐order asymptotic boundary conditions

1993 ◽  
Vol 94 (6) ◽  
pp. 3405-3420 ◽  
Author(s):  
S. I. Rokhlin ◽  
W. Huang
Keyword(s):  
Boundary Conditions ◽  
Ultrasonic Wave ◽  
Wave Interaction ◽  
Second Order ◽  
Anisotropic Layer ◽  
Asymptotic Boundary

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.

Asymptotic boundary conditions for axisymmetric finite element electrostatic analysis

1994 ◽  
Vol 30 (6) ◽  
pp. 4335-4337 ◽  
Author(s):  
Qiushi Chen ◽  
A. Konrad ◽  
S. Baronijan
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Asymptotic Boundary
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