Good reference for the construction of a Greens functions fur the Sturm-Liouville - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T10:49:03Z http://mathoverflow.net/feeds/question/105702 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/105702/good-reference-for-the-construction-of-a-greens-functions-fur-the-sturm-liouville Good reference for the construction of a Greens functions fur the Sturm-Liouville warsaga 2012-08-28T11:06:14Z 2013-01-09T08:04:17Z <p>Does anyone know a good reference for the constructions of a Greens functions fur the Sturm-Liouville Boundary Value Problem.</p> http://mathoverflow.net/questions/105702/good-reference-for-the-construction-of-a-greens-functions-fur-the-sturm-liouville/105705#105705 Answer by jbc for Good reference for the construction of a Greens functions fur the Sturm-Liouville jbc 2012-08-28T11:20:38Z 2012-08-28T11:20:38Z <p>Courant, Hilbert, Methoden der mathematischen Physik (English version: Methods of Mathematical Physics).</p> http://mathoverflow.net/questions/105702/good-reference-for-the-construction-of-a-greens-functions-fur-the-sturm-liouville/105709#105709 Answer by Dox for Good reference for the construction of a Greens functions fur the Sturm-Liouville Dox 2012-08-28T11:36:35Z 2012-08-28T11:42:08Z <p>My choice would be <strong>Boundary Value Problems and Green's Functions</strong> by Ivar Stakgold. It have an introduction to <em>distribution theory</em> and them apply it to finding Green's functions.</p> <p>It includes:</p> <ul> <li>ODE</li> <li>PDE with initial conditions</li> <li>PDE with boundary conditions.</li> </ul> <p>I found a preview <a href="http://cam.ucsd.edu/~mholst/pubs/dist/StHo2011a-preview.pdf" rel="nofollow">here</a></p> <p>Cheers</p> http://mathoverflow.net/questions/105702/good-reference-for-the-construction-of-a-greens-functions-fur-the-sturm-liouville/105765#105765 Answer by Alexandre Eremenko for Good reference for the construction of a Greens functions fur the Sturm-Liouville Alexandre Eremenko 2012-08-28T21:28:42Z 2012-08-28T21:28:42Z <p>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 :-) </p> http://mathoverflow.net/questions/105702/good-reference-for-the-construction-of-a-greens-functions-fur-the-sturm-liouville/118390#118390 Answer by njguliyev for Good reference for the construction of a Greens functions fur the Sturm-Liouville njguliyev 2013-01-08T20:15:52Z 2013-01-08T20:15:52Z <p>Levitan B.M., Sargsjan I.S. Sturm-Liouville and Dirac operators. Kluwer, 1991. xii+350 pp. ISBN: 0-7923-0992-8</p> <p>Section I.5 of this book contains a detailed construction of Green's function for the Sturm-Liouville problem.</p> http://mathoverflow.net/questions/105702/good-reference-for-the-construction-of-a-greens-functions-fur-the-sturm-liouville/118427#118427 Answer by Igor Khavkine for Good reference for the construction of a Greens functions fur the Sturm-Liouville Igor Khavkine 2013-01-09T08:04:17Z 2013-01-09T08:04:17Z <p>My go-to book for all things Sturm-Liouville, including more modern stuff, is Zettl's <a href="http://books.google.ca/books?id=NhlavdENDNkC" rel="nofollow"><em>Sturm-Liouville theory</em></a> (AMS, 2005).</p>