Results 111 to 120 of about 5,722 (217)

On the solvability of non-homogeneous Sturm-Liouville problem

, 2017
Non-homogeneous Sturm-Liouville problems can arise when trying to solve non-homogeneous partial differential equations or when constructing the asymptotic series for partial differential equation solution.
Popov, Anton I.
core  

The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formula

summary:The Sturm-Liouville eigenvalue problem is symmetric if the coefficients are even functions and the boundary conditions are symmetric. The eigenfunction is expressed in terms of orthonormal bases, which are constructed in a linear space of trial ...
Liu, Chein-Shan, Li, Botong
core   +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

Global bifurcation and multiple results for Sturm–Liouville problems

, 2011
We consider the nonlinear Sturm–Liouville boundary value problem {(Lu)(t)=λa(t)f(u(t ...
Zou, Yumei, Yujun Cui, Cui, Yujun, Yumei Zou, Sun, Jingxian, Jingxian Sun   +5 more
core   +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  

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

Spline approach to the solution of Sturm - Liouville problem

, 2009
This study investigates the eigenvalues of regular Sturm-Liouville problem. A quintic spline function is used to develop a numerical method for approximating the eigenvalues of Sturm-Liouville problem.
S Mehrkanoon, Z A Majid, M Suleiman, S., Mehrkanoon, Abdul Majid, Zanariah, Suleiman, Mohamed, S S Chaharborj, S., S Chaharborj   +7 more
core  

Laguerre Wavelet Approach for a Two-Dimensional Time-Space Fractional Schrödinger Equation. [PDF]

Entropy (Basel), 2022
Bekiros S, Soradi-Zeid S, Mou J, Yousefpour A, Zambrano-Serrano E, Jahanshahi H.   +5 more
europepmc   +1 more source

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