Fokker-Planck Equations of Stochastic Acceleration: Green's Functions and Boundary Conditions

1995 ◽  
Vol 446 ◽  
pp. 699 ◽  
Author(s):  
Brian T. Park ◽  
Vahe Petrosian
Keyword(s):  
Boundary Conditions ◽  
Green's Functions ◽  
Green’S Functions ◽  
Stochastic Acceleration ◽  
Fokker Planck Equations ◽  
Fokker Planck

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.

scholarly journals Green’s Functions For Generalized Schroedinger Equations

1969 ◽  
Vol 35 ◽  
pp. 133-150 ◽  
Author(s):  
John A. Beekman
Keyword(s):  
Boundary Conditions ◽  
Markov Processes ◽  
Green's Functions ◽  
Green’S Functions ◽  
Different Boundary Conditions ◽  
Sample Paths ◽  
Schroedinger Equations

I. Introduction. The purpose of this paper is to discuss functions defined on the continuous sample paths of Gaussian Markov processes which serve as Green’s functions for pairs of generalized Schroedinger equations. The results extend the author’s earlier paper [2] to a forward time version, and consider different boundary conditions.

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