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A structured approach to design-for-frequency problems using the Cayley-Hamilton theorem. [PDF]

Springerplus, 2014
Dumond P, Baddour N.
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Harmonic Solutions of a Mixed Boundary Problem Arising in the Modeling of Macromolecular Transport into Vessel Walls. [PDF]

Comput Math Appl, 2010
Balsim I, Neimark MA, Rumschitzki D.
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The inverse Sturm–Liouville problem. II

Communications on Pure and Applied Mathematics, 1984
[Part I, cf. the first and the third author, ibid. 36, 767-783 (1983; Zbl 0507.58037).] - Let \(L^ 2\) be the Hilbert space of square- integrable real-valued functions on [0,1]. If \(q\in L^ 2\) and \((a,b)\in {\mathbb{R}}^ 2\) are fixed, then the Sturm-Liouville problem \(- y''+qy=\lambda y\), \(0\leq x\leq 1\), with boundary conditions a y(0)\(+y'(0)=
Isaacson, E. L., McKean, H. P., Trubowitz, E.   +2 more
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The inverse Sturm–Liouville problem III

Communications on Pure and Applied Mathematics, 1984
[For part II see ibid. 37, 1-11 (1984; Zbl 0552.58024).] We discuss the inverse spectral theory of the Sturm-Liouville problem \(- y''+q(x)y=\lambda y,\) with boundary conditions \(y(0)=0\), \(by(1)+y'(1)=0.\)
Dahlberg, Björn E. J., Trubowitz, Eugene   +1 more
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Inverse Sturm–Liouville Problems

2015
We will need representations of solutions of the Sturm–Liouville equation and algorithms for recovering its potential q from two of its spectra, corresponding to two distinct sets of separated boundary conditions. These results are due to [178], see also [177], [180]. For the convenience of the reader and easy reference we recall these results from V.A.
Manfred Möller, Vyacheslav Pivovarchik
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A SOLUTION TO INVERSE STURM-LIOUVILLE PROBLEMS

Advances in Mathematics: Scientific Journal, 2021
In this study, we recover potential function and separable boundary conditions for the inverse Sturm-Liouville problem in normal form by using two partial subsets of the data which consist of its one spectrum and sequence of endpoints of eigenfunctions.
Açil, Mehmet, Bildik, N.
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Inverse nonlocal Sturm–Liouville problem

Inverse Problems, 2010
We solve direct and inverse spectral problems for Sturm–Liouville operators with singular nonlocal potentials and nonlocal boundary conditions.
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An Inverse Problem for the Sturm–Liouville Operator

Mathematical Notes, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerov's method for inverse Sturm–Liouville problems

Inverse Problems, 2004
Let \(\{\lambda_j\}_{j\geq 1}\) be the eigenvalues of the boundary value problem \[ -y''+q(x)y=\lambda y,\; y(0)=y(\pi)=0, \] where \(q(x)=q(\pi-x)\) is a real-valued function. It is known that the specification of the spectrum \(\{\lambda_j\}_{j\geq 1}\) uniquely determines the potential \(q\).
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