Results 1 to 10 of about 480 (63)
A pathological example in nonlinear spectral theory [PDF]
Advances in Nonlinear Analysis, 2017 We construct an open set Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete.
Brasco Lorenzo, Franzina Giovanni
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Open Mathematics, 2023 In this article, we focus on the scattering analysis of Sturm-Liouville type singular operator including an impulsive condition and turning point. In the classical literature, there are plenty of papers considering the positive values of the weight ...
Çoşkun Nimet, Görgülü Merve
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Open Mathematics, 2023 A kind of fourth-order boundary value problem with eigenparameter-dependent boundary and transmission conditions is investigated. By constructing the characteristic function, we prove that the problems consist of a finite number of eigenvalues. We obtain
Zhang Na, Ao Ji-jun
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Normalized Laplacian Spectrum of Some Q-Coronas of Two Regular Graphs
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper we determine the normalized Laplacian spectrum of the Q-vertex corona, Q-edge corona, Q-vertex neighborhood corona, and Q-edge neighborhood corona of a connected regular graph with an arbitrary regular graph in terms of normalized Laplacian
Das Arpita, Panigrahi Pratima
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, 2020 In this paper, we study the eigenvalues of discrete Sturm-Liouville problems with signchanging weight and coupled boundary conditions. The exact number (including multiplicity) of the real eigenvalues is obtained.
Chenggang Gao, Fei Zhang, Maojun Ran
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ON A GENERALISATION OF THE FUNDAMENTAL MATRIX AND THE SOLUTION OF OPERATOR EQUATIONS
, 2020 We consider a broad class of linear operator equations that includes systems of ordinary differential equations, difference equations and fractionalorder ordinary differential equations.
M. Rodrigo
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Schrödinger operators with potential waveguides on periodic graphs
, 2020 We consider discrete Schrödinger operators with periodic potentials on periodic graphs perturbed by guided positive potentials, which are periodic in some directions and finitely supported in other ones.
O. Post, N. Saburova
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Spectrum of the quadratic eigenparameter dependent discrete Dirac equations
Advances in Differential Equations, 2014 Let us consider the Boundary Value Problem (BVP) for the discrete Dirac equations an+1yn+1(2)+bnyn(2)+pnyn(1)=λyn(1), an−1yn−1(1)+bnyn(1)+qnyn(2)=λyn(2), n∈N, (γ0+γ1λ+γ2λ2)y1(2)+(β0+β1λ+β2λ2)y0(1)=0, where (an), (bn), (pn) and (qn), n∈N are complex ...
T. Koprubasi
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Spectral Stability of the Neumann Laplacian [PDF]
, 2001 We prove the equivalence of Hardy- and Sobolev-type inequalities, certain uniform bounds on the heat kernel and some spectral regularity properties of the Neumann Laplacian associated with an arbitrary region of finite measure in Euclidean space. We also
Burenkov, V. I., Davies, E. B.
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Topological properties of the block numerical range of operator matrices
, 2020 We show that the block numerical range of an n×n -operator matrix A corresponding to an operator A on the Banach space X with respect to a decomposition X = ∏Xj has at most n connected components.
Agnes Radl, M. Wolff
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