Results 91 to 100 of about 10,340 (200)
On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems
Abstract and Applied Analysis, 2015 We consider the nonself-adjoint Sturm-Liouville operator with q∈L1[0,1] and either periodic or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in L2[0,1]
Alp Arslan Kıraç
doaj +1 more source
An inverse three spectra problem for Sturm–Liouville operators
Boundary Value Problems, 2018 In this paper, we consider the inverse three spectra problems of recovering the Sturm–Liouville equation by the spectra of the Neumann–Dirichlet boundary value problem on [0,1] $[0,1]$, the Neumann–Robin problem on [0,1/2] $[0,1/2]$, and the Robin ...
Yongxia Guo, Guangsheng Wei, Ruoxia Yao
doaj +1 more source
Bounds on the non-real spectrum of differential operators with indefinite weights [PDF]
, 2012 Ordinary and partial differential operators with an indefinite weight function can be viewed as bounded perturbations of non-negative operators in Krein spaces.
Behrndt, Jussi +2 more
core +1 more source
Self‐similar instability and forced nonuniqueness: An application to the 2D euler equations
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract Building on an approach introduced by Golovkin in the ’60s, we show that nonuniqueness in some forced partial differential equations is a direct consequence of the existence of a self‐similar linearly unstable eigenvalue: the key point is a clever choice of the forcing term removing complicated nonlinear interactions.
Michele Dolce, Giulia Mescolini
wiley +1 more source
Multi-interval dissipative Sturm–Liouville boundary-value problems with distributional coefficients
Доповiдi Нацiональної академiї наук УкраїниThe paper investigates spectral properties of multi-interval Sturm–Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions in terms of boundary conditions are ...
A.S. Goriunov
doaj +1 more source
Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley +1 more source
Space versus energy oscillations of Prufer phases for matrix Sturm-Liouville and Jacobi operators
Electronic Journal of Differential Equations, 2020 This note considers Sturm oscillation theory for regular matrix Sturm-Liouville operators on finite intervals and for matrix Jacobi operators. The number of space oscillations of the eigenvalues of the matrix Prufer phases at a given energy, defined ...
Hermann Schulz-Baldes, Liam Urban
doaj
Stability of kinklike structures in generalized models
Nuclear Physics B, 2020 We study the stability of topological structures in generalized models with a single real scalar field. We show that it is driven by a Sturm-Liouville equation and investigate the conditions that lead to the existence of explicit supersymmetric operators
I. Andrade, M.A. Marques, R. Menezes
doaj +1 more source
Advances in Difference Equations, 2018 In this study, we consider fractional Sturm–Liouville (S–L) problems within non-singular operators. A fractional S–L problem with exponential and Mittag-Leffler kernels is given with different versions in the Riemann–Liouville and Caputo sense.
Erdal Bas +3 more
doaj +1 more source
Fragility of the Schrödinger Cat in thermal environments. [PDF]
Sci Rep, 2023 Bera S, Yip KLS, John S.
europepmc +1 more source