Results 71 to 80 of about 5,416,832 (202)
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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Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane +2 more
wiley +1 more source
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.Purpose This study aims to develop a mathematically cautious and reproducible (q, τ)‐deformed Gegenbauer‐type (DGT) polynomial ((q, τ)‐DGT) for spectral approximation and illustrative diffusion modeling. The revision is motivated by the need to avoid circular definitions, unsupported orthogonality claims, and unstable diffusion sign conventions ...
Rabha W. Ibrahim +3 more
wiley +1 more source
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
doaj +1 more source
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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MASALAH STURM-LIOUVILLE SINGULAR FRAKSIONAL [PDF]
, 2017 Persamaan diferensial Sturm-Liouville merupakan persamaan diferensial biasa order dua. Persamaan diferensial Sturm-Liouville yang dilengkapi dengan syarat batas homogen disebut masalah Sturm-Liouville.
qomariyah, nurul
core
AIP Advances, 2020 This paper deals with analytical and experimental study of permanent magnet linear synchronous machines with horizontally magnetized permanent magnets.
Kyung-Hun Shin +4 more
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, 2021 In Chap. 3 we have seen how the separability of PDEs leads to ordinary differential equations problems, usually of second order. The problem is complemented with B.C.s and the reduction of the initial PDE to second order ODEs often yield a so-called
Cossali G., Tonini S.
core +1 more source
Journal of Applied Mathematics, 2013 In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions.
Erdoğan Şen +2 more
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