Results 21 to 30 of about 5,769 (217)

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

Spectral analysis of the matrix Sturm–Liouville operator

open access: yesBoundary Value Problems, 2019
The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
doaj   +1 more source

Coincidence Theory of a Nonlinear Periodic Sturm–Liouville System and Its Applications

open access: yesAxioms, 2022
Based on the second derivative, this paper directly establishes the coincidence degree theory of a nonlinear periodic Sturm–Liouville (SL) system. As applications, we study the existence of periodic solutions to the S–L system with some special nonlinear
Kaihong Zhao
doaj   +1 more source

On the existence of generalised syzygies in the planar three-body problem

open access: yesComptes Rendus. Mathématique, 2023
We consider the Newtonian planar three-body problem. One defines a generalised syzygy as a configuration where the three bodies or their velocities become collinear.
Tsygvintsev, Alexei
doaj   +1 more source

Special functions and generalized Sturm-Liouville problems

open access: yes, 2020
This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on ...
Masjed-Jamei, Mohammad
core   +1 more source

Spectral partitions for Sturm–Liouville problems [PDF]

open access: yes, 2020
We look for best partitions of the unit interval that minimize certain functionals defined in terms of the eigenvalues of Sturm–Liouville problems.
Tilli, Paolo, Zucco, Davide
core   +1 more source

Study on Infinitely Many Solutions for a Class of Fredholm Fractional Integro-Differential System

open access: yesFractal and Fractional, 2022
This paper deals with a class of nonlinear fractional Sturm–Liouville boundary value problems. Each sub equation in the system is a fractional partial equation including the second kinds of Fredholm integral equation and the p-Laplacian operator ...
Dongping Li, Yankai Li, Fangqi Chen
doaj   +1 more source

Existence of solutions for subquadratic convex or $B$-concave operator equations and applications to second order Hamiltonian systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2020
This paper investigates solutions for subquadratic convex or $B$-concave operator equations. First, some existence results are obtained by the index theory and the critical point theory.
Mingliang Song
doaj   +1 more source

The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods

open access: yesAbstract and Applied Analysis, 2014
The Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. The existence results for one solution and multiple solutions are obtained.
Yu Tian, Dongpo Sun
doaj   +1 more source

Study the properties of spectral characteristics and eigenfunctions for Sturm-Liouville boundary value problems

open access: yesWasit Journal for Pure Sciences
: In this study, we provide an overview of the Sturm-Liouville operator’s spectral theory on a finite interval. Also, we study the main spectral characteristics for the second-order differential operator, and we show that the eigenvalues and ...
khelan hussien
doaj   +1 more source

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