Results 71 to 80 of about 5,769 (217)
A Spectral Theory for a λ-Rational Sturm–Liouville Problem
Journal of Differential Equations, 2001 Linearizing the Navier-Stokes equations with a magnetic field for a velocity field of a plasma with axial symmetry, the axial and the azimuthal components of the velocity can be eliminated at the expense of a rational dependence on the eigenvalue parameter in the equation for the remaining velocity component. Corresponding eigenvalue problems such as \[
Adamjan, V., Langer, Heinz, Langer, M.
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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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Discontinuous Sturm‐Liouville Problems and Associated Sampling Theories [PDF]
Abstract and Applied Analysis, 2011 This paper investigates the sampling analysis associated with discontinuous Sturm‐Liouville problems with eigenvalue parameters in two boundary conditions and with transmission conditions at the point of discontinuity. We closely follow the analysis derived by Fulton (1977) to establish the needed relations for the derivations of the sampling theorems ...
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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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A study on a Sturm-Liouville theory
, 2016 Este texto aborda os principais resultados sobre a Teoria de Sturm-Liouville assim como os pré-requisitos necessários para construí-los, entre eles o Teorema Espectral para Operadores Compactos e a Teoria de Fredholm.
Souza, Valterlan Atanasio de [UNESP]
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, 2020 This paper introduces a systematic study for analytic aspects of discrete spectra methods for functions supported on some compact domains of SE(2), according to Sturm–Liouville theory.
Chirikjian, GS, Ghaani Farashahi, A
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Electronic Journal of Differential Equations, 2012 Using critical point theory due to Bonanno [3], we prove the existence of at least one non-trivial solution for a class of two-point boundary-value problems for fourth-order Sturm-Liouville type equations.
Shapour Heidarkhani
doaj
Localised gravity and resolved braneworlds
Journal of High Energy PhysicsDeriving an effective massless field theory for fluctuations about a braneworld spacetime requires analysis of the transverse-space-wavefunction’s second-order differential equation. There can be two strikingly different types of effective theory.
Rahim Leung, K. S. Stelle
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Revista Técnica de la Facultad de Ingeniería, 2011 F. H. Jackson has introduced a system of numbers called ''basic numbers'' and the corresponding operations of ''basic differentiation'' and ''basic integration'' [see \textit{T. W. Chaundy}, J. Lond. Math. Soc., II. Ser. 37, 126-128 (1962; Zbl 0099.246), for references to the original work of F. H. Jackson].
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Sturm-Liouville-Operatorfunktionen
, 2016 Many special functions are solutions of both, a differential and a functional equation. We use this duality to solve a large class of abstract Sturm-Liouville equations, initiating a theory of Sturm-Liouville operator functions; cosine, Bessel, and ...
Früchtl, Felix Benedikt
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