3
$\begingroup$

Does anyone know a good reference for the constructions of a Greens functions fur the Sturm-Liouville Boundary Value Problem.

Improve this question
$\endgroup$
1
  • $\begingroup$ The references tag should be added $\endgroup$
    – Dox
    Commented Aug 28, 2012 at 11:37

5 Answers 5

Reset to default
3
$\begingroup$

My choice would be Boundary Value Problems and Green's Functions by Ivar Stakgold. It have an introduction to distribution theory and them apply it to finding Green's functions.

It includes:

  • ODE
  • PDE with initial conditions
  • PDE with boundary conditions.

I found a preview here

Cheers

Improve this answer
$\endgroup$
4
$\begingroup$

My favorite book on the subject is E. L. Ince, Ordinary differential equations. It is of originally of 1926, but it contains essentially everything what one has to know on the subject :-)

Improve this answer
$\endgroup$
2
$\begingroup$

Courant, Hilbert, Methoden der mathematischen Physik (English version: Methods of Mathematical Physics).

Improve this answer
$\endgroup$
1
$\begingroup$

Levitan B.M., Sargsjan I.S. Sturm-Liouville and Dirac operators. Kluwer, 1991. xii+350 pp. ISBN: 0-7923-0992-8

Section I.5 of this book contains a detailed construction of Green's function for the Sturm-Liouville problem.

Improve this answer
$\endgroup$
1
$\begingroup$

My go-to book for all things Sturm-Liouville, including more modern stuff, is Zettl's Sturm-Liouville theory (AMS, 2005).

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .