Results 41 to 50 of about 514,334 (168)
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 +2 more
wiley +1 more source
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 +2 more
doaj
Demonstratio MathematicaIn this paper, we investigate the β −Sturm-Liouville problem within the framework of a generalized quantum difference calculus, which extends Hahn’s difference operator to the half-line.
Koşar Nida Palamut, Koşar Cem
doaj +1 more source
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
Recovering the Sturm-Liouville Operator with Singular Potential Using Nodal Data
, 2011 The paper deals with the Sturm-Liouville operator with singular potential. We assume that the potential is a sum of an a priori known distribution from a certain class and an unknown sufficiently smooth function.
Ignatiev, Mikhail Yu; Shieh, Chung-Tsun
core +1 more source
The Finite Spectrum of Sturm-Liouville Operator With δ-Interactions [PDF]
, 2018 The goal of this paper is to study the finite spectrum of Sturm-Liouville operator with δ- interactions. Such an equation gives us a Sturm-Liouville boundary value problem which has n transmission conditions. We show that for any positive numbers mj (j =
Manafov, Manaf D. +2 more
core +1 more source
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
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
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 +3 more
wiley +1 more source
The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators
Annales Mathematicae SilesianaeIn this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.
Allahverdiev Bilender P. +2 more
doaj +1 more source