Sturm-liouville operator - Open Access .click

Results 41 to 50 of about 367 (181)

An Inverse Problem for a Sturm-Liouville Operator

Journal of Mathematical Analysis and Applications, 1994
Consider an identification problem for the coefficient $q(x)$ in the differential equation (1) \(-u''(x) + q(x) u(x) = \psi (x ...
Lowe, Bruce D., Rundell, William
openaire +2 more sources

A Sturm–Liouville theorem for quadratic operator pencils

Journal of Differential Equations, 2020
We establish a Sturm{Liouville theorem for quadratic operator pencils counting their unstable real roots, with applications to stability of waves. Such pencils arise, for example, in reduction of eigenvalue systems to higher-order scalar problems.
Sukhtayev, Alim, Zumbrun, Kevin
openaire +4 more sources

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source

Nonradial solutions for the critical quasi‐linear Hénon equation involving p$p$‐Laplacian in RN$\mathbb {R}^N$

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In this paper, we investigate the following D1,p$D^{1,p}$‐critical quasi‐linear Hénon equation involving p$p$‐Laplacian −Δpu=|x|αupα∗−1,x∈RN,$$\begin{equation*} -\Delta _p u=|x|^{\alpha }u^{p_\alpha ^*-1}, \qquad x\in \mathbb {R}^N, \end{equation*}$$where N⩾2$N\geqslant 2$, 1
Wei Dai, Lixiu Duan, Changfeng Gui, Yuan Li +3 more
wiley +1 more source

Fractional Sturm-Liouville operators on compact star graphs

Demonstratio Mathematica
In this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
doaj +1 more source

On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions

Demonstratio Mathematica, 2023
The goal of this study is to analyse the eigenvalues and weak eigenfunctions of a new type of multi-interval Sturm-Liouville problem (MISLP) which differs from the standard Sturm-Liouville problems (SLPs) in that the Strum-Liouville equation is defined ...
Olgar Hayati
doaj +1 more source

Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation

Advanced Science, Volume 13, Issue 17, 23 March 2026.
Utilizing the energy conversion characteristics of asymmetric bistable beams, this study develops a programmable multifunctional system composed of multiple bistable beams for energy transfer and dissipation. The high energy density enables the system to demonstrate potential in transient scenarios such as target delivery and shock absorption ...
Xin Na +6 more
wiley +1 more source

Transformation Operators for Sturm-Liouville Operators with Singular Potentials [PDF]

Mathematical Physics, Analysis and Geometry, 2004
Transformation operators are constructed for the Sturm-Liouville operator $\ell f:=f''+qf$ with a singular complex-valued potential $q\in W_2^{-1}(0,1)$. Some applications to the spectral analysis of Sturm-Liouville operators with singular potentials are also given.
Hryniv, Rostyslav O., Mykytyuk, Yaroslav V. +1 more
openaire +1 more source

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
wiley +1 more source

Spectral analysis of q-fractional Sturm-Liouville operators

Electronic Journal of Differential Equations, 2017
In this article, we study q-fractional Sturm-Liouville operators. Using by the functional method, we pass to a new operator. Then, showing that this operator is a maximal operator and constructing a self-adjoint dilation of the maximal dissipative ...
Bilender P. Allahverdiev, Huseyin Tuna
doaj

sturm-liouville theory
eigenvalues
fos: mathematics

mathematics
general theory of ordinary differential operators
inverse spectral problem

spectral theory math.sp
mathematics - spectral theory
eigenvalue