scholarly journals Asymptotic form at largerof a third-order linear homogeneous differential equation for the ground-state electron density of the He atom

2008 ◽  
Vol 77 (3) ◽  
Author(s):  
N. H. March ◽  
Á. Nagy ◽  
C. Amovilli
Keyword(s):  
Differential Equation ◽  
Electron Density ◽  
Ground State ◽  
Asymptotic Form ◽  
Third Order ◽  
Order Linear ◽  
Homogeneous Differential Equation ◽  
Linear Homogeneous Differential Equation ◽  
Ground State Electron ◽  
He Atom

scholarly journals An integral equation associated with linear homogeneous differential equations

1986 ◽  
Vol 9 (2) ◽  
pp. 405-408 ◽  
Author(s):  
A. K. Bose
Keyword(s):  
Differential Equation ◽  
Integral Equation ◽  
Differential Equations ◽  
Real Line ◽  
Homogeneous Differential Equation ◽  
The Real ◽  
Linear Homogeneous Differential Equation

Associated with each linear homogeneous differential equationy(n)=∑i=0n−1ai(x)y(i)of ordernon the real line, there is an equivalent integral equationf(x)=f(x0)+∫x0xh(u)du+∫x0x[∫x0uGn−1(u,v)a0(v)f(v)dv]duwhich is satisfied by each solutionf(x)of the differential equation.

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