Results 41 to 50 of about 346 (179)
Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials [PDF]
Opuscula Mathematica, 2013 We systematically develop Weyl-Titchmarsh theory for singular differential operators on arbitrary intervals \((a,b) \subseteq \mathbb{R}\) associated with rather general differential expressions of the type \begin{equation*}\tau f = \frac{1}{\tau} (-(p[f'
Jonathan Eckhardt +3 more
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A counterexample in Sturm–Liouville completeness theory
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2004 We give an example of an indefinite weight Sturm-Liouville problem whose eigenfunctions form a Riesz basis under Dirichlet boundary conditions but not under anti-periodic boundary conditions.
Binding, Paul, Ćurgus, Branko
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
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Boundary Value Problems, 2020 In this paper we consider singular Sturm–Liouville problems with eigenparameter dependent boundary conditions and two singular endpoints. The spectrum of such problems can be approximated by those of the inherited restriction operators constructed.
Maozhu Zhang, Kun Li, Hongxiang Song
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Spectral theory of Sturm–Liouville difference operators
Linear Algebra and its Applications, 2009 This paper deals with eigenvalue problems for the discrete Sturm-Liouville problem \[ -\Delta(f\Delta y)(n)+q(n)y(n)=\lambda w(n)y(n) \] for \(n=1,\dots,k\). The authors present several classes of explicit self-adjoint Sturm-Liouville difference operator with either a non-Hermitian leading coefficient function, or a non-Hermitian potential function, or
Shi, Guoliang, Wu, Hongyou
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Shape Morphing Programmable Systems for Enhanced Control in Low‐Velocity Flow Applications
Advanced Intelligent Systems, Volume 7, Issue 11, November 2025.A soft, Lorentz‐force‐driven programmable surface enables rapid, reversible shape morphing for active flow control. Integrating experimental, numerical, and modeling approaches, the system demonstrates effective modulation of near‐wall flow and momentum at low velocities, offering pathways for bio‐inspired aerodynamics and natural locomotion emulation.
Jin‐Tae Kim +16 more
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Examining the Feasibility of the Sturm–Liouville Theory for Ross Recovery
Mathematics, 2020 Recent studies have suggested that it is feasible to recover a physical measure from a risk-neutral measure. Given a market state variable modeled as a Markov process, the key concept is to extract a unique positive eigenfunction of the generator of the ...
Shinmi Ahn, Hyungbin Park
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Scattering theory of impulsive Sturm-Liouville equations
Filomat, 2017 In this paper, we investigate scattering theory of the impulsive Sturm-Liouville boundary value problem (ISBVP). In particular, we find the Jost solution and the scattering function of this problem. We also study the properties of the Jost function and the scattering function of this ISBVP.
Öznur, Güler Başak +2 more
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Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients
Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15875-15889, 30 November 2025.ABSTRACT A variety of inverse Sturm–Liouville problems is considered, including the two‐spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as the recovery from the spectral function. In all cases, the potential in the Sturm–Liouville equation is assumed to be complex valued.
Vladislav V. Kravchenko
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Heat Transfer in n‐Dimensional Parallelepipeds Under Zero Dirichlet Conditions
Engineering Reports, Volume 7, Issue 10, October 2025.The graphical abstract visually summarizes the analytical study of heat propagation in an n‐dimensional domain: Top Left: Shows a unit cube transformed into a parallelepiped via an affine transformation, representing the geometric generalization of the domain.
Zafar Duman Abbasov +4 more
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