Results 161 to 170 of about 486 (190)

Asymptotic Expressions for Eigenfunctions and Eigenvalues of a Dielectric or Optical Waveguide

IEEE Transactions on Microwave Theory and Techniques, 1969
An asymptotic technique is presented, resulting in an analytically simple self-consistent description of the modes of a circular dielectric structure. When the dielectric difference between the rod and surrounding medium is small, the asymptotic expressions are valid for all frequencies.
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Asymptotics of the Eigenvalues and Eigenfunctions of a Thin Square Dirichlet Lattice with a Curved Ligament

Mathematical Notes, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The asymptotic behavior of the eigenvalues and eigenfunctions of the Laplace operator on a compact Riemannian manifold

Radiophysics and Quantum Electronics, 1972
The asymptotic properties of the spectrum of a Laplace operator on a Riemannian manifold are studied. New asymptotic formulas are derived for spectrum series, which are associated with stable geodesics.
V. R. Kogan, A. V. Krakhnov
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Asymptotics of the eigenvalues and eigenfunctions in cubically anisotropic thermoelastic bodies with slits

Journal of Engineering Physics and Thermophysics, 2008
Within the framework of the uncoupled thermoelasticity, using G. Weyl’s method, asymptotic formulas for eigenvalues and eigenfunctions of the first boundary-value problem have been obtained for cubically anisotropic bodies limited by a finite number of closed and nonclosed unintersecting Lyapunov surfaces.
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Uniform asymptotics of the eigenvalues and eigenfunctions of the Dirac system with an integrable potential

Differential Equations, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator

Journal of Pseudo-Differential Operators and Applications, 2022
Lin Tang
exaly  

ASYMPTOTICS OF EIGENVALUES AND EIGENFUNCTIONS OF THE STURM–LIOUVILLE OPERATOR WITH SINGULAR POTENTIAL ON A STAR GRAPH. I

Дифференциальные уравнения / Differential Equations
Spectral problems on a star-graph consisting of three edges with a Sturm–Liouville operator defined on each of them are investigated. The spectral properties of such operators have been studied, in particular, asymptotic formulas for eigenvalues and eigenfunctions of the operator with Dirichlet boundary conditions at free ends and continuity and ...
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Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument

Complex Variables and Elliptic Equations, 2022
Erdogan Sen, Arturas Štikonas
exaly  

The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems

SIAM Review, 1967
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Large m asymptotics for minimal partitions of the Dirichlet eigenvalue

Science China Mathematics, 2021
Zhiyuan Geng, Lin Fanghua
exaly