Results 1 to 10 of about 15,705 (132)

Exact and Numerical Solution of the Fractional Sturm–Liouville Problem with Neumann Boundary Conditions [PDF]

open access: yesEntropy, 2022
In this paper, we study the fractional Sturm–Liouville problem with homogeneous Neumann boundary conditions. We transform the differential problem to an equivalent integral one on a suitable function space.
Malgorzata Klimek   +2 more
doaj   +2 more sources

Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation. [PDF]

open access: yesAdv Sci (Weinh)
Utilizing the energy conversion characteristics of asymmetric bistable beams, this study develops a programmable multifunctional system composed of multiple bistable beams for energy transfer and dissipation. The high energy density enables the system to demonstrate potential in transient scenarios such as target delivery and shock absorption ...
Na X   +6 more
europepmc   +2 more sources

Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems

open access: yesInternational Journal of Analysis and Applications, 2023
This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably ...
Sameh Gana
doaj   +1 more source

Matrix Representations for a Class of Eigenparameter Dependent Sturm–Liouville Problems with Discontinuity

open access: yesAxioms, 2023
Matrix representations for a class of Sturm–Liouville problems with eigenparameters contained in the boundary and interface conditions were studied. Given any matrix eigenvalue problem of a certain type and an eigenparameter-dependent condition, a class ...
Shuang Li, Jinming Cai, Kun Li
doaj   +1 more source

Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory

open access: yesLietuvos Matematikos Rinkinys, 2021
Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of ...
Jonas Vitkauskas, Artūras Štikonas
doaj   +1 more source

A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus

open access: yesJournal of Function Spaces, 2021
In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some ...
Sertac Goktas
doaj   +1 more source

Recovery of Inhomogeneity from Output Boundary Data

open access: yesMathematics, 2022
We consider the Sturm–Liouville equation on a finite interval with a real-valued integrable potential and propose a method for solving the following general inverse problem.
Vladislav V. Kravchenko   +2 more
doaj   +1 more source

Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

open access: yesLietuvos Matematikos Rinkinys, 2021
In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
doaj   +1 more source

Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method

open access: yesBoundary Value Problems, 2008
Solving an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary values.
Chein-Shan Liu
doaj   +2 more sources

On the Jost Solutions of A Class of the Quadratic Pencil of the Sturm-Liouville Equation

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023
In this study we construct new integral representations of Jost-type solutions of the quadratic pencil of the Sturm-Liouville equation with the piece-wise constant coefficient on the entire real line.
Döndü Nurten Cücen, Anar Adiloğlu
doaj   +1 more source

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