WebNov 2, 2024 · Hey so I'm trying to solve this Sturm-Liouville problem. Here is something I've written so far but I'm not sure how I can apply y (0)=0, and y (1)+y' (1)=0 to y and its derivatives for each case. Please if you have any suggestions on how I can tackle this problem I'd appreciate it. % Problem_2 the Sturm-Liuoville Problem WebA nonzero function y that solves the Sturm-Liouville problem (p(x)y′)′ +(q(x) +λr(x))y = 0, a < x < b, (plus boundary conditions), is called an eigenfunction, and the corresponding value of λ is called its eigenvalue. The eigenvalues of a Sturm-Liouville problem are the values of λ for which nonzero solutions exist.

MATHEMATICA tutorial, Part 2.5: Sturm--Liouville Problems

WebNov 15, 2024 · I try t solve a simple Sturm-Liouville problem: y'' + k**2 * y = 0; y (0) = y (1) = 0 I write our equation as a first-order system and implement its right-hand side evaluation: y1' = y2; y2' = -k**2 * y1 def fun (x, y, p): k = p [0] return np.vstack ( (y [1], -k**2 * y [0])) WebApr 11, 2024 · We suggest a new statement of the inverse spectral problem for Sturm--Liouville-type operators with constant delay. This inverse problem consists in recovering the coefficient (often referred to as potential) of the delayed term in the corresponding equation from the spectra of two boundary value problems with one common boundary condition. … steven chong cause of death

6 Sturm-Liouville Eigenvalue Problems - University of North …

WebMay 18, 2024 · Advanced Engineering Mathematics, Lecture 4.4: Sturm-Liouville theory. A Sturm-Liouville equation is a boundary value problem consisting of an ODE of the form - ( ...more ...more Webtreat this type of inverse problems. There were many works to develop algorithms for solving the inverse Sturm-Liouville problem of reconstructing potential function from eigenvalues 3, 4 , which is known as the inverse spectral problem or inverse eigenvalue problem 5 . On the other hand, McLaughlin Webfor solving the inverse Sturm-Liouville problem was suggested by Gelfand and Levitan [16]. ... V., Inverse Sturm-Liouville Problems and Their Appli-cations. Nova Science Publishers, Huntington, NY, 2001. [15] Freiling, G., Ignatiev, M. Y., Yurko, V. A., An inverse spectral problem for Sturm-Liouville operators with singular potentials on star ... steven christesen port charlotte fl