Results 61 to 70 of about 346 (179)

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

Basic Sturm-Liouville theory

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].
openaire   +2 more sources

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

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

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  

A Study of the Generalized Gabor Transform with Applications to Reproducing Kernel Theory

Mathematics
The aim of this paper is to establish an inversion and Calderón formulas for the generalized Gabor transform associated with a class of Sturm–Liouville operators.
Saifallah Ghobber, Hatem Mejjaoli
doaj   +1 more source

Phase transition in anisotropic holographic superfluids with arbitrary dynamical critical exponent z and hyperscaling violation factor $$\alpha $$ α

European Physical Journal C: Particles and Fields, 2017
Einstein-scalar-U(2) gauge field theory is considered in a spacetime characterized by $$\alpha $$ α and z, which are the hyperscaling violation factor and the dynamical critical exponent, respectively.
Miok Park, Jiwon Park, Jae-Hyuk Oh
doaj   +1 more source

Mixed boundary value problems involving Sturm–Liouville differential equations with possibly negative coefficients

Boundary Value Problems
This paper is devoted to the study of a mixed boundary value problem for a complete Sturm–Liouville equation, where the coefficients can also be negative. In particular, the existence of infinitely many distinct positive solutions to the given problem is
Gabriele Bonanno, Giuseppina D’Aguì, Valeria Morabito   +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