Dear Shilendra,

Green's functions are named after the mathematician, George Green, who first developed the concept in the 1830s. In the modern study of linear partial differential equations, Green's functions are studied largely from the point of view of fundamental solutions instead. It is an important mathematical tool that has application in many areas of theoretical physics including mechanics, electromagnetism, solid-state

physics, thermal physics, and the theory of elementary particles For the solution of Boundary value problems associated with either ordinary or partial differential equations, one requires a brief knowledge about Green's function .

For more information on this function, please use the following links:

http://www.math.umbc.edu/~jbell/pde_notes/J_Greens%20functions-ODEs.pdf

http://ocw.mit.edu/courses/mathematics/18-303-linear-partial-differential-equations-fall-2006/lecture-notes/greensfn.pdf

http://shodhganga.inflibnet.ac.in/bitstream/10603/2555/9/09_chapter%204.pdf

http://www.cns.gatech.edu/~predrag/courses/PHYS-6124-12/StGoChap5.pdf

Hoping this will be helpful,

Rafik

Mr. Sharma,

Please pay attention to:

Ref. 1. F. Aryasetiawan and O. Gunnarsson, Rep. Prog. Phys., 1998, 61, 237–312.