Lecture 6
 
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GREEN'S FUNCTIONS, DELTA FUNCTIONS AND DISTRIBUTION THEORY: This lecture introduces the Green's function along with the Dirac delta function for solving Lu=f.
 
Lecture 7
 
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GREEN'S FUNCTIONS FOR STURM-LIOUVILLE PROBLEMS This lecture considers self-adjoint Sturm-Liouville operators L and their associated Green's function solution.
 
Lecture 8
 
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MODIFIED GREEN'S FUNCTION: The construction of the Green's function is compromised when there exists a non-trivial null space for the operator L. The modified Green's function is constructed for this case.