Results 81 to 90 of about 5,326 (220)

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

Some nonlinear and nonlocal Sturm-Liouville problems motivated by the problem of flutter

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2009
We study three internally connected Sturm-Liouville problems for nonlinear ordinary differential equations that are motivated by the problem of aeroelastic instability. Solutions are analyzed and asymptotic results are presented.
B. P. Belinskiy, J. V. Matthews
doaj   +1 more source

Poisson kernels of q$q$‐3D Hermite polynomials expansion for functions of several variables via generalized q$q$‐heat equations

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley   +1 more source

On Inverse Problem for Left-definite Discrete Sturm-Liouville Equations

open access: yes, 2010
ON INVERSE PROBLEMS FOR LEFT-DEFINITE DISCRETE STURM-LIOUVILLE EQUATIONS RAMI ALAHMAD APPLIED MATHEMATICS ABSTRACT We are interested in studying a class of discrete Sturm-Liouville problems called left-de nite problems corresponding to a positive ...
Al Ahmad, Rami
core  

Inverse Sturm–Liouville problems with finite spectrum

open access: yes, 2012
We study inverse Sturm–Liouville problems of Atkinson type whose spectrum consists entirely of a finite set of eigenvalues. We show that given two finite sets of interlacing real numbers there exists a class of Sturm–Liouville equations of Atkinson type ...
Kong, Qingkai   +3 more
core   +1 more source

Fractional singular Sturm-Liouville problems on the half-line

open access: yesAdvances in Difference Equations, 2017
In this paper, we consider two types of singular fractional Sturm-Liouville operators. One comprises the composition of left-sided Caputo and left-sided Riemann-Liouville derivatives of order α ∈ ( 0 , 1 ) $\alpha \in(0,1)$ .
Pisamai Kittipoom
doaj   +1 more source

Spectral singularities of the nonhomogeneous Sturm-Liouville equations

open access: yesApplied Mathematics Letters, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Murat Adivar, Elgiz Bairamov
openaire   +2 more sources

A high-speed method for eigenvalue problems. IV. Sturm-Liouville-type differential equations

open access: yes, 2019
We present a new version MEV4 of the program package MEV3 by Milne's method generalized for the eigenvalue problem of the linear differential equation of the Sturm-Liouville-type.
T. Yano (8091596)   +7 more
core   +1 more source

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

open access: yesҚарағанды 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

Bounds of Eigenvalues for Complex q-Sturm–Liouville Problem

open access: yes
The eigenvalues of complex q-Sturm–Liouville boundary value problems are the focus of this paper. The coefficients of the corresponding q-Sturm–Liouville equation provide the lower bounds on the real parts of all eigenvalues, and the real ...
Xiaoxue Han
core   +1 more source

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