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\(q\)-multiplicative Sturm-Liouville problem
2023Summary: In this paper, the classical Sturm-Liouville problem is investigated in the context of \(q\)-multiplicative calculus. Some spectral properties of the \(q\)-multiplicative Sturm-Liouville problems, such as formally self-adjointness, and orthogonality of eigenfunctions, are studied.
Allahverdiev, B.P., Tuna, H.
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Indefinite Sturm-Liouville Problems
1987In this chapter we shall discuss in some detail partial differential equations associated with self adjoint Sturm-Liouville boundary value problems with indefinite weights.
William Greenberg +2 more
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1996
Let us consider the equation $$- \left( {p\left( x \right)y'\left( x \right)} \right)' + q\left( x \right)y\left( x \right) = \lambda p\left( x \right)y\left( x \right) $$ on the segment 0 ≤ x ≤ l, assuming that the real-valued functions p, p′,q, ρ are continuous on this segment and $$p\left( x \right) \geqslant p_0 > 0,p\left( x \right ...
Yuri Egorov, Vladimir Kondratiev
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Let us consider the equation $$- \left( {p\left( x \right)y'\left( x \right)} \right)' + q\left( x \right)y\left( x \right) = \lambda p\left( x \right)y\left( x \right) $$ on the segment 0 ≤ x ≤ l, assuming that the real-valued functions p, p′,q, ρ are continuous on this segment and $$p\left( x \right) \geqslant p_0 > 0,p\left( x \right ...
Yuri Egorov, Vladimir Kondratiev
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Inverse Sturm–Liouville Problems
2015We 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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Traces and inverse nodal problem for Sturm–Liouville operators with frozen argument
Applied Mathematics Letters, 2020Yi-Teng Hu, Natalia P Bondarenko
exaly
A partial inverse Sturm‐Liouville problem on an arbitrary graph
Mathematical Methods in the Applied Sciences, 2021Natalia P Bondarenko
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