[图书][B] Multiparameter eigenvalue problems

FV Atkinson, AB Mingarelli - 1972 - researchgate.net
... A literary executor messes with the literary legacy of the author whose works he was
meant to protect with unintended consequences. 3 The task of resurrecting a manuscript …

[图书][B] Multiparameter eigenvalue problems: Sturm-Liouville theory

FV Atkinson, AB Mingarelli - 2010 - books.google.com
One of the masters in the differential equations community, the late FV Atkinson contributed
seminal research to multiparameter spectral theory and Sturm-Liouville theory for more than …

An efficient numerical method for estimating eigenvalues and eigenfunctions of fractional Sturm–Liouville problems

MK Sadabad, AJ Akbarfam - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, we construct numerical schemes based on the Lagrange polynomial
interpolation to solve Fractional Sturm–Liouville problems (FSLPs) in which the fractional …

[PDF][PDF] Inverse Sturm-Liouville problem with eigenparameter dependent boundary and transmission conditions

M Shahriari - Azerbaijan Journal of Mathematics, 2014 - researchgate.net
This paper deals with the boundary value problem involving the differential equation ℓy:=−
y′′+ qy= λy subject to the eigenparameter dependent boundary conditions along with the …

On the canonical solution of the Sturm–Liouville problem with singularity and turning point of even order

A Neamaty, S Mosazadeh - Canadian Mathematical Bulletin, 2011 - cambridge.org
In this paper, we are going to investigate the canonical property of solutions of systems of
differential equations having a singularity and turning point of even order. First, by a …

On the canonical solution of indefinite problem with m turning points of even order

HR Marasi, AJ Akbarfam - Journal of mathematical analysis and …, 2007 - Elsevier
We consider the differential equation on a finite interval I, say I=[0, 1], where I contains m
turning points, that is here, zeros of ϕ, under the assumption that one of the turning points is …

Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions

M Shahriari - Computational Methods for Differential Equations, 2014 - cmde.tabrizu.ac.ir
This paper deals with the boundary value problem involving the differential equation ell y:=-
y''+ qy= lambda y, subject to the eigenparameter dependent boundary conditions along with …

On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems

A Aghazadeh, Y Mahmoudi - Computational Methods for …, 2023 - cmde.tabrizu.ac.ir
In this paper, the eigenvalues and corresponding eigenfunctions of a fractional order Sturm-
Liouville problem (FSLP) are approximated by using the fractional differential transform …

The uniqueness of the solution of dual equations of an inverse indefinite Sturm–Liouville problem

H Kheiri, AJ Akbarfam, AB Mingarelli - Journal of mathematical analysis …, 2005 - Elsevier
In this paper we consider a linear second-order equation of Sturm–Liouville type: with
Dirichlet boundary conditions y (− 1)= y (1)= 0, where q is a positive sufficiently smooth …

Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials

A Aghazadeh, Y Mahmoudi… - Iranian Journal of …, 2023 - ijnao.um.ac.ir
A new numerical scheme based on Genocchi polynomials is constructed to solve fractional
Sturm–Liouville problems of order two in which the fractional derivative is considered in the …