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Perturbation Analysis on T-Eigenvalues of Third-Order Tensors
This paper concentrates on perturbation theory concerning the tensor T-eigenvalues within the framework of tensor-tensor multiplication. Notably, it...
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A perturbation problem for transmission eigenvalues
In this paper, we consider a perturbation problem for real transmission eigenvalues. Real transmission eigenvalues are of particular interest in...
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Reductional Method in Perturbation Theory of Generalized Spectral E. Schmidt Problem
In this a paper perturbations of multiple eigenvalues of Schmidt spectral problems is considered. At the usage of the reductional method suggested in...
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Spin–orbit synchronization and singular perturbation theory
In this study, we formulate a set of differential equations for a binary system to describe the secular-tidal evolution of orbital elements,...
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Perturbation bounds for stable gyroscopic systems
In this paper we consider linear gyroscopic mechanical systems.More precisely, we consider the perturbation theory for stable gyroscopic systems. We...
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Bounds of H-eigenvalues of interval tensors
The tensor eigenvalue problem has been widely studied in recent years. In this paper, we propose a new constructive way to estimate bounds on the...
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Existence of Running Solutions in a Relativistic Tricomi’s Equation Using Perturbation Theory
We use perturbation methods to establish the existence of a second kind periodic solution (running solution) of a nonlinear Tricomi’s equation type...
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An order relation between eigenvalues and symplectic eigenvalues of a class of infinite-dimensional operators
In this article, we obtain some results in the direction of “infinite-dimensional symplectic spectral theory”. We prove an inequality between the...
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Perturbations of real parts of eigenvalues of bounded linear operators in a Hilbert space
Let A be a bounded linear operator in a complex separable Hilbert space ℌ, and S be a selfadjoint operator in ℌ. Assuming that A − S belongs to the...
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On the Eigenvalues of Spectral Gaps of Elliptic PDEs on Waveguides
A method of calculating eigenvalues in the spectral gaps of self-adjoint elliptic partial differential equations on waveguides is presented. It is...
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Spectral Shift Function and Eigenvalues of the Perturbed Operator
In the space of square integrable functions on the positive semi-axis, two positive self-adjoint operators generated by a one-dimensional free...
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Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems
The present paper deals with the eigenvalues of complex nonlocal Sturm-Liouville boundary value problems. The bounds of the real and imaginary parts...
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Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation
In this paper we study the multi-frequency quasi-periodic operator with a Gevrey type perturbation. We first establish the large deviation theorem...
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Eigenvalues and Jordan Forms of Dual Complex Matrices
Dual complex matrices have found applications in brain science. There are two different definitions of the dual complex number multiplication. One is...
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Shape Perturbation of Grushin Eigenvalues
We consider the spectral problem for the Grushin Laplacian subject to homogeneous Dirichlet boundary conditions on a bounded open subset of
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Bound estimates of the eigenvalues of matrix polynomials
In this paper we prove some results concerning the bound estimates of the eigenvalues of a matrix polynomial. This in particular include the results...
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Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media
Eigenvalues arising in scattering theory have been envisioned as a potential source of target signatures in nondestructive testing of materials,...
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Shape optimization for combinations of Steklov eigenvalues on Riemannian surfaces
We prove existence and regularity of metrics which minimize combinations of Steklov eigenvalues over metrics of unit perimeter on a surface with...