Results 51 to 60 of about 13,845 (157)

Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Two-parameter Sturm-Liouville problems [PDF]

open access: yes, 2012
This paper deals with the computation of the eigenvalues of two-parameter Sturm- Liouville (SL) problems using the Regularized Sampling Method, a method which has been effective in computing the eigenvalues of broad classes of SL problems (Singular, Non ...
Boucherif, A., Chanane, B.
core  

Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points

open access: yes, 2014
In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined to depending on a neighborhood of a midpoint of the interval.
Altinisik, Nihat, Hira, Fatma
core   +1 more source

Poisson kernels of q$q$‐3D Hermite polynomials expansion for functions of several variables via generalized q$q$‐heat equations

open access: yesTransactions 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
wiley   +1 more source

Regular approximation of singular Sturm–Liouville problems with eigenparameter dependent boundary conditions

open access: yesBoundary 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
doaj   +1 more source

Shape Morphing Programmable Systems for Enhanced Control in Low‐Velocity Flow Applications

open access: yesAdvanced 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
wiley   +1 more source

Examining the Feasibility of the Sturm–Liouville Theory for Ross Recovery

open access: yesMathematics, 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
doaj   +1 more source

Properties and Decompositions of Domains for Powers of the Jacobi Differential Operator

open access: yes, 2019
We set out to build a framework for self-adjoint extension theory for powers of the Jacobi differential operator that does not make use of classical deficiency elements.
Frymark, Dale, Liaw, Constanze
core   +1 more source

Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients

open access: yesMathematical 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
wiley   +1 more source

Bounds on the non-real spectrum of differential operators with indefinite weights [PDF]

open access: yes, 2012
Ordinary and partial differential operators with an indefinite weight function can be viewed as bounded perturbations of non-negative operators in Krein spaces.
Behrndt, Jussi   +2 more
core   +1 more source

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