Results 11 to 20 of about 6,031,844 (195)

A Study of the Eigenfunctions of the Singular Sturm–Liouville Problem Using the Analytical Method and the Decomposition Technique

open access: yesMathematics, 2020
The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
doaj   +1 more source

On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation

open access: yesFractal and Fractional, 2022
As we know one of the most important equations which have many applications in various areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation.
Zohreh Heydarpour   +4 more
doaj   +1 more source

Elastic Stars in General Relativity: II. Radial perturbations [PDF]

open access: yes, 2003
We study radial perturbations of general relativistic stars with elastic matter sources. We find that these perturbations are governed by a second order differential equation which, along with the boundary conditions, defines a Sturm-Liouville type ...
Andersson K G   +23 more
core   +3 more sources

The Regulator Problem to the Convection–Diffusion Equation

open access: yesMathematics, 2023
In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
doaj   +1 more source

Sturm-Liouville Estimates for the Spectrum and Cheeger Constant [PDF]

open access: yes, 2014
Buser's inequality gives an upper bound on the first non-zero eigenvalue of the Laplacian of a closed manifold M in terms of the Cheeger constant h(M). Agol later gave a quantitative improvement of Buser's inequality.
Benson, Brian
core   +2 more sources

Non-classical periodic boundary value problems with impulsive conditions

open access: yesJournal of New Results in Science, 2023
This study investigates some spectral properties of a new type of periodic Sturm-Liouville problem. The problem under consideration differs from the classical ones in that the differential equation is given on two disjoint segments that have a common end,
Sevda Nur Öztürk   +2 more
doaj   +1 more source

Examination of Sturm-Liouville problem with proportional derivative in control theory

open access: yesMathematical Modelling and Numerical Simulation with Applications, 2023
The current study is intended to provide a comprehensive application of Sturm-Liouville (S-L) problem by benefiting from the proportional derivative which is a crucial mathematical tool in control theory.
Bahar Acay Öztürk
semanticscholar   +1 more source

Sturm-Liouville difference equations having Bessel and hydrogen atom potential type

open access: yesOpen Physics, 2018
In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal   +2 more
doaj   +1 more source

On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials

open access: yesMathematics, 2020
Using the Sturm–Liouville theory in q-difference spaces, we prove the finite orthogonality of q-Pseudo Jacobi polynomials. Their norm square values are then explicitly computed by means of the Favard theorem.
Mohammad Masjed-Jamei   +3 more
doaj   +1 more source

Boundary value problems of quaternion-valued differential equations: solvability and Green’s function

open access: yesBoundary Value Problems, 2023
This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs).
Jie Liu, Siyu Sun, Zhibo Cheng
doaj   +1 more source

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