Results 41 to 50 of about 290 (180)

Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill   +2 more
wiley   +1 more source

Dissipative Sturm-Liouville operators with a spectral parameter in the boundary condition on bounded time scales

Electronic Journal of Differential Equations, 2017
In this article we consider a second-order Sturm-Liouville operator with a spectral parameter in the boundary condition on bounded time scales. We construct a selfadjoint dilation of the dissipative Sturm-Liouville operators.
Bilender P. Allahverdiev, Aytekin Eryilmaz, Huseyin Tuna   +2 more
doaj  

A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory

Fractal and Fractional
The Langevin equation is a model for describing Brownian motion, while the Sturm–Liouville equation is an important mechanical model. This paper focuses on the solvability and stability of nonlinear impulsive Langevin and Sturm–Liouville equations with ...
Kaihong Zhao, Juqing Liu, Xiaojun Lv
doaj   +1 more source

Applications of the Fractional Sturm–Liouville Difference Problem to the Fractional Diffusion Difference Equation

International Journal of Applied Mathematics and Computer Science, 2023
This paper deals with homogeneous and non-homogeneous fractional diffusion difference equations. The fractional operators in space and time are defined in the sense of Grünwald and Letnikov.
Malinowska Agnieszka B., Odzijewicz Tatiana, Poskrobko Anna   +2 more
doaj   +1 more source

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

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

Analyticity and uniform stability in the inverse spectral problem for impedance Sturm-Liouville operators

Karpatsʹkì Matematičnì Publìkacìï, 2013
We prove that the inverse spectral mapping reconstructing the impedance function of the Sturm-Liouville operators on [0; 1] in impedance form from their spectral data (two spectra or one spectrum and the corresponding norming constants) is analytic and ...
R. O. Hryniv
doaj   +1 more source

Description of the scattering data for Sturm-Liouville operators on the half-line [PDF]

Opuscula Mathematica, 2019
We describe the set of the scattering data for self-adjoint Sturm-Liouville operators on the half-line with potentials belonging to \(L_1(\mathbb{R}_+,\rho(x)\,\text{d} x)\), where \(\rho:\mathbb{R}_+\to\mathbb{R}_+\) is a monotonically nondecreasing ...
Yaroslav Mykytyuk, Nataliia Sushchyk
doaj   +1 more source

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