Results 71 to 80 of about 677 (179)

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

Wasit 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

On Positive Definite Kernels of Integral Operators Corresponding to the Boundary Value Problems for Fractional Differential Equations. [PDF]

Entropy (Basel), 2022
Aleroev M, Aleroev T.
europepmc   +1 more source

Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems. [PDF]

MethodsX, 2023
Farzana H, Bhowmik SK, Bhowmik SK, Islam MS.   +3 more
europepmc   +1 more source

Nonlinear discrete Sturm–Liouville problems

Journal of Mathematical Analysis and Applications, 2005
The paper is devoted to discrete boundary value problems of the form \[ \Delta\left[ p\left( t-1\right) \Delta y\left( t-1\right) \right] +q\left( t\right) y\left( t\right) +\lambda y\left( t\right) =f\left( y\left( t\right) \right) , \] \(t=a+1,\dots,b+1,\) subject to the boundary conditions \[ a_{11}y\left( a\right) +a_{12}\Delta y\left( a\right) =0,\
openaire   +1 more source

Spectral Characteristics of the Sturm-Liouville Problem with Spectral Parameter-Dependent Boundary Conditions

Journal of New Theory
We consider the Sturm-Liouville problem on the half line $(0 \leq ...
Aynur Çöl
doaj   +1 more source

DeepGreen: deep learning of Green's functions for nonlinear boundary value problems. [PDF]

Sci Rep, 2021
Gin CR, Shea DE, Brunton SL, Kutz JN.
europepmc   +1 more source

Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators

Electronic Journal of Differential Equations, 2004
It is well known that the classical linear Sturm-Liouville eigenvalue problem is self-adjoint and possesses a family of eigenfunctions which form an orthonormal basis for the space L_2.
Alexander S. Makin, H. Bevan Thompson
doaj  

An inverse nodal problem of a conformable Sturm-Liouville problem with restrained constant delay

Boundary Value Problems
This paper presents a new technique: a conformable derivative for the inverse problem of a Sturm-Liouville problem with restrained constant delay. Solutions to the Sturm-Liouville problem often involve eigenfunctions and eigenvalues, which have important
Auwalu Sa’idu, Hikmet Koyunbakan, Kamal Shah, Thabet Abdeljawad   +3 more
doaj   +1 more source

A New Angle on Sturm-Liouville Problems

Rocky Mountain Journal of Mathematics, 1995
In this note Sturm Liouville problems \(- (py')' + qy = \lambda ry\), where \(p > 0\), \(r > 0\), \({1 \over p}, q,r \in L_1 ([0,1], \mathbb{R})\), with boundary conditions \(y(0) \cos \beta_0 = (py') (0) \sin \beta_0\), \(0 \leq \beta_0 < \pi\), \((a \lambda + b) y(0) = (c \lambda + d) (py') (0)\), where \(0 \neq (a,b,c,d) \in \mathbb{R}^4\), are ...
openaire   +2 more sources

Inverse problems for discrete Hermite nabla difference equation

Applied Mathematics in Science and Engineering
Inverse problems are studied for discrete Hermite equations with nabla difference including initial value, terminal value and Sturm–Liouville problems. A quantitative study is conducted to obtain the solution.
B. Shiri, Y. Guang, D. Baleanu
doaj   +1 more source