Results 41 to 50 of about 2,806 (244)
2×2 operator matrix with real parameter and its spectrum [PDF]
E3S Web of ConferencesIn the present paper we consider a linear bounded self-adjoint 2×2 block operator matrix Aμ (so called generalized Friedrichs model) with real parameter μ ∈ R.
Dilmurodov Elyor B. +4 more
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
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Self-adjoint extensions of the Laplace–Beltrami operator and unitaries at the boundary [PDF]
, 2013 We construct in this article a class of closed semi-bounded quadratic forms on the space of square integrable functions over a smooth Riemannian manifold with smooth compact boundary.
Alberto Ibort +2 more
semanticscholar +1 more source
The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
wiley +1 more source
Spectral analysis for the exceptional Xm-Jacobi equation
Electronic Journal of Differential Equations, 2015 We provide the mathematical foundation for the $X_m$-Jacobi spectral theory. Namely, we present a self-adjoint operator associated to the differential expression with the exceptional $X_m$-Jacobi orthogonal polynomials as eigenfunctions.
Constanze Liaw +2 more
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Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential
Abstract and Applied Analysis, 2016 A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Aleksandr Mikhailovich Kholkin
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Computing Bonds Between Formal Contexts
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón +2 more
wiley +1 more source
Self-adjoint boundary-value problems on time-scales
Electronic Journal of Differential Equations, 2007 In this paper we consider a second order, Sturm-Liouville-type boundary-value operator of the form $$ L u := -[p u^{ abla}]^{Delta} + qu, $$ on an arbitrary, bounded time-scale $mathbb{T}$, for suitable functions $p,q$, together with suitable ...
Bryan P. Rynne, Fordyce A. Davidson
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The Maximal Regularity of Nonlinear Second-Order Hyperbolic Boundary Differential Equations
AxiomsIn this paper, we show the maximal regularity of nonlinear second-order hyperbolic boundary differential equations. We aim to show if the given second-order partial differential operator satisfies the specific ellipticity condition; additionally, if ...
Xingyu Liu
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Nonself-Adjoint Second-Order Difference Operators in Limit-Circle Cases
Abstract and Applied Analysis, 2012 We consider the maximal dissipative second-order difference (or discrete Sturm-Liouville) operators acting in the Hilbert space ℓ2𝑤(ℤ) (ℤ:={0,±1,±2,…}), that is, the extensions of a minimal symmetric operator with defect index (2,2) (in the Weyl ...
Bilender P. Allahverdiev
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