Results 91 to 100 of about 13,841 (198)

The conservative Camassa–Holm flow with step‐like irregular initial data

Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We extend the inverse spectral transform for the conservative Camassa–Holm flow on the line to a class of initial data that requires strong decay at one endpoint but only mild boundedness‐type conditions at the other endpoint. The latter condition appears to be close to optimal in a certain sense for the well‐posedness of the conservative ...
Jonathan Eckhardt, Aleksey Kostenko
wiley   +1 more source

Forma general de la transformada finita de Hankel General form of the finite Hankel transform

Revista Técnica de la Facultad de Ingeniería, 2008
En este trabajo de investigación se obtiene una forma general de la Transformada Finita de Hankel en el intervalo [a, b], usando la teoría de las transformadas finitas de Sturm-Liouville.
Ovidio Pirela Cristalino, Alfredo Villalobos Mena   +1 more
doaj  

Space versus energy oscillations of Prufer phases for matrix Sturm-Liouville and Jacobi operators

Electronic Journal of Differential Equations, 2020
This note considers Sturm oscillation theory for regular matrix Sturm-Liouville operators on finite intervals and for matrix Jacobi operators. The number of space oscillations of the eigenvalues of the matrix Prufer phases at a given energy, defined ...
Hermann Schulz-Baldes, Liam Urban
doaj  

Trace regularization problem for a fourth‐order differential operator on separable Banach space

Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 4578-4591, 15 March 2025.
In this study, we employ new results on the semi‐inner product, the adjoint operator, and the Schatten class of operators on a separable Banach space, which allow us to investigate a differential operator with unbounded operator‐valued coefficients. Specifically, we derive an asymptotic formula for the second regularized trace based on the asymptotic ...
Ozlem Baksi, Yonca Sezer, Seda K. Caliskan   +2 more
wiley   +1 more source

Non-trivial solutions for two-point boundary-value problems of fourth-order Sturm-Liouville type equations

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 Physics
Deriving 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

Analytical and experimental study for characteristic analysis of permanent magnet linear synchronous machines with horizontally magnetized PMs

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, Tae-Kyoung Bang, Sung-Won Seo, Chang-Woo Kim, Jang-Young Choi   +4 more
doaj   +1 more source

Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument

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, Jong Jin Seo, Serkan Araci   +2 more
doaj   +1 more source

Impedance Variation in a Coaxial Coil Encircling a Metal Tube Adapter. [PDF]

Sensors (Basel), 2023
Luo Y, Yang X.
europepmc   +1 more source

Constants in the oscillation theory of higher order Sturm-Liouville differential equations

Electronic Journal of Differential Equations, 2002
We find the the exact value of a constant in some oscillation criteria for the higher order Sturm-Liouville differential equation $$ (-1)^{n}(t^alpha y^{(n)})^{(n)}=q(t)y . $$ We also study some general aspects in the oscillation theory of this equation.
Ondrej Dosly
doaj