Results 1 to 10 of about 447 (58)
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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Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent
Nonautonomous Dynamical Systems, 2020 We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method.
Ibrango Idrissa +3 more
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Perturbation of eigenvalues of matrix pencils and optimal assignment problem [PDF]
, 2004 We consider a matrix pencil whose coefficients depend on a positive parameter $\epsilon$, and have asymptotic equivalents of the form $a\epsilon^A$ when $\epsilon$ goes to zero, where the leading coefficient $a$ is complex, and the leading exponent $A ...
Baccelli +13 more
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On a problem in eigenvalue perturbation theory [PDF]
, 2015 We consider additive perturbations of the type $K_t=K_0+tW$, $t\in [0,1]$, where $K_0$ and $W$ are self-adjoint operators in a separable Hilbert space $\mathcal{H}$ and $W$ is bounded.
Gesztesy, Fritz +2 more
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Global structure of sign-changing solutions for discrete Dirichlet problems
Open Mathematics, 2020 Let T>1T\gt 1 be an integer, T≔[1,T]Z={1,2,…,T},Tˆ≔{0,1,…,T+1}{\mathbb{T}}:= {{[}1,T]}_{{\mathbb{Z}}}=\{1,2,\ldots ,T\},\hspace{.0em}\hat{{\mathbb{T}}}:= \{0,1,\ldots ,T+1\}.
Wei Liping, Ma Ruyun
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Worst-case shape optimization for the Dirichlet energy [PDF]
, 2016 We consider the optimization problem for a shape cost functional $F(\Omega,f)$ which depends on a domain $\Omega$ varying in a suitable admissible class and on a "right-hand side" $f$. More precisely, the cost functional $F$ is given by an integral which
Bellido, José Carlos +2 more
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Spectrum perturbations of compact operators in a Banach space
Open Mathematics, 2019 For an integer p ≥ 1, let Γp be an approximative quasi-normed ideal of compact operators in a Banach space with a quasi-norm NΓp(.) and the ...
Gil’ Michael
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Minimization of $\lambda_2(\Omega)$ with a perimeter constraint [PDF]
, 2009 We study the problem of minimizing the second Dirichlet eigenvalue for the Laplacian operator among sets of given perimeter. In two dimensions, we prove that the optimum exists, is convex, regular, and its boundary contains exactly two points where the ...
Bucur, Dorin +2 more
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