ANALYTIC CONTINUATION WITH RESPECT TO A PARAMETER OF THE GREEN'S FUNCTIONS OF EXTERIOR BOUNDARY VALUE PROBLEMS FOR THE TWO-DIMENSIONAL HELMHOLTZ EQUATION. I

1975 ◽  
Vol 26 (3) ◽  
pp. 373-402
Author(s):  
L A Muraveĭ
Keyword(s):  
Helmholtz Equation ◽  
Analytic Continuation ◽  
Boundary Value Problems ◽  
Green's Functions ◽  
Green’S Functions ◽  
Boundary Value ◽  
Two Dimensional ◽  
Exterior Boundary

Sign Properties of Green's Functions For Two Classes of Boundary Value Problems

1987 ◽  
Vol 30 (1) ◽  
pp. 28-35 ◽  
Author(s):  
P. W. Eloe
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Green’S Function ◽  
Boundary Value Problems ◽  
Green's Function ◽  
Difference Equations ◽  
Green's Functions ◽  
Green’S Functions ◽  
Boundary Value ◽  
Partial Derivatives

AbstractLet G(x,s) be the Green's function for the boundary value problem y(n) = 0, Ty = 0, where Ty = 0 represents boundary conditions at two points. The signs of G(x,s) and certain of its partial derivatives with respect to x are determined for two classes of boundary value problems. The results are also carried over to analogous classes of boundary value problems for difference equations.

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