Results 1 to 10 of about 130,152 (295)
On the Displacement of Eigenvalues When Removing a Twin Vertex [PDF]
Twin vertices of a graph have the same open neighbourhood. If they are not adjacent, then they are called duplicates and contribute the eigenvalue zero to the adjacency matrix.
Briffa Johann A., Sciriha Irene
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Multiple perturbations of a singular eigenvalue problem [PDF]
We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija+2 more
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Global Perturbation of Nonlinear Eigenvalues
This paper generalizes the classical theory of perturbation of eigenvalues up to cover the most general setting where the operator surface 𝔏:[a,b]×[c,d]→Φ0(U,V){\mathfrak{L}:[a,b]\times[c,d]\to\Phi_{0}(U,V)}, (λ,μ)↦𝔏(λ,μ){(\lambda,\mu)\mapsto\mathfrak ...
López-Gómez Julián+1 more
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A Modal Perturbation Method for Eigenvalue Problem of Non-Proportionally Damped System [PDF]
The non-proportionally damped system is very common in practical engineering structures. The dynamic equations for these systems, in which the damping matrices are coupled, are very time consuming to solve.
Danguang Pan+4 more
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The maximum time step size for the explicit finite-difference scheme complies with the Courant–Friedrichs–Lewy (CFL) stability condition, which essentially restricts the optimization and tuning of the communication-intensive massive seismic wave ...
Yingjie Gao+5 more
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Real Valued Functions for the BFKL Eigenvalue
We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in N=4 super Yang-Mills theory as a real valued function of two variables.
Mohammad Joubat, Alex Prygarin
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Soft photon radiation and entanglement
We study the entanglement between soft and hard particles produced in generic scattering processes in QED. The reduced density matrix for the hard particles, obtained via tracing over the entire spectrum of soft photons, is shown to have a large ...
Anastasios Irakleous+2 more
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Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
In the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given.
E. M. Adylina, L. V. Stepanova
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A non-Hermitian $PT-$symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points [PDF]
We study a non-Hermitian $PT-$symmetric generalization of an $N$-particle, two-mode Bose-Hubbard system, modeling for example a Bose-Einstein condensate in a double well potential coupled to a continuum via a sink in one of the wells and a source in the ...
Graefe, E. M.+3 more
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Use the perturbation method to find the solvability condition for a particular boundary value problem. [PDF]
We study in this paper, how to use the perturbation method to find the solvability condition for certain boundary value problem of fourth order which has the form: with Where is an eigenvalue and is a continuous function defined on ...
Lamyaa Sadoon
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