Results 41 to 50 of about 6,031,844 (195)

Regularized Green's Function for the Inverse Square Potential

, 2002
A Green's function approach is presented for the D-dimensional inverse square potential in quantum mechanics. This approach is implemented by the introduction of hyperspherical coordinates and the use of a real-space regulator in the regularized version ...
CARLOS R. ORDÓÑEZ, Coleman S., Gerry C. C., Gupta K. S., HORACIO E. CAMBLONG, Thorn C.   +5 more
core   +1 more source

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu   +2 more
wiley   +1 more source

Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients

Mathematical 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

Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator

Journal of Function Spaces and Applications, 2013
We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore,
Erdal Bas
doaj   +1 more source

Analytical Studies on Holographic Superconductors in Gauss-Bonnet Gravity

, 2011
We use the variational method for the Sturm-Liouville eigenvalue problem to analytically calculate some properties of holographic superconductors with Gauss-Bonnet gravity in probe limit.
Cai, Rong-Gen, Li, Huai-Fan, Zhang, Hai-Qing   +2 more
core   +1 more source

Heat Transfer in n‐Dimensional Parallelepipeds Under Zero Dirichlet Conditions

Engineering Reports, Volume 7, Issue 10, October 2025.
The graphical abstract visually summarizes the analytical study of heat propagation in an n‐dimensional domain: Top Left: Shows a unit cube transformed into a parallelepiped via an affine transformation, representing the geometric generalization of the domain.
Zafar Duman Abbasov, Davron Aslonqulovich Juraev, Obidjon Khayrullaevich Abdullaev, Irfan Nurhidayat, Mohd Asif Shah   +4 more
wiley   +1 more source

Inverse spectral problems for energy-dependent Sturm-Liouville equations

, 2012
We study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from their Dirichlet spectra and sequences of the norming constants.
Ablowitz M J, Adamjan V, Albeverio S, Albeverio S, Albeverio S, Engel K-J, Gasymov M G, Gasymov M G, Gel'fand I, Gohberg I, Gohberg I C, Gusei˘nov G S, Gusei˘nov I M, Hryniv R O, Hryniv R O, Jaulent M, Jaulent M, Jaulent M, Jonas P, Kamimura Y, Kappeler T, Kato T, Levitan B M, Maksudov F G, Maksudov F G, Markus A S, Nabiev A A, Nabiev A A, Nabiev I M, Nabiev I M, Nataliya Pronska, Pronska N, Pronska N, Pronska N, Riesz F, Rostyslav Hryniv, Sattinger D H, Savchuk A M, Savchuk A M, Savchuk A M, Savchuk A M, Serier F, Yamamoto M   +42 more
core   +1 more source

Multi‐MeV Electron Occurrence and Lifetimes in the Outer Radiation Belt and Slot Region During the Maximum of Solar Cycle 22

Space Weather, Volume 23, Issue 10, October 2025.
Abstract The Combined Release and Radiation Effects Satellite (CRRES) observed the response of the Van Allen radiation belts to peak solar activity within solar cycle 22. This study analyses relativistic and ultra‐relativistic electron occurrence and loss timescales within the CRRES High Energy Electron Fluxometer (HEEF) data set, including during ...
R. T. Desai, J. Perrin, N. P. Meredith, S. A. Glauert, S. Ruparelia, W. R. Johnston   +5 more
wiley   +1 more source

Basic Sturm -Liouville Theory

Revista Técnica de la Facultad de Ingeniería, 2011
In the real domain, a basic analogue of a simple form of Sturm Liouville equation of the second order is studied, and it is shown that, with proper boundary conditions, its solutions are orthogonal with respect to basic integration. Basic functions which
Harold Exton
doaj  

Operator-pencil treatment of multi-interval Sturm-Liouville equation with boundary-transmission conditions

Қарағанды университетінің хабаршысы. Математика сериясы
This paper is devoted to a new type of boundary-value problems for Sturm-Liouville equations defined on three disjoint intervals (−π,−π+d),(−π+d,π−d) and (π−d,π) together with eigenparameter dependent boundary conditions and with additional transmission
H. Olǧar, F. Muhtarov, O. Mukhtarov
doaj   +1 more source