Results 91 to 100 of about 7,909 (213)

The explicit eigenvalues and eigenfunctions of the generalized Neumann kernel in annular domains

, 2019
This paper presents the explicit forms of the eigenvalues of the generalized Neumann kernel in annular domains and the explicit forms of the corresponding eigenfunctions.
Jawatankuasa Kerja PSM UPM 3
core   +3 more sources

Numerical Analysis of Stability for Temporal Bright Solitons in a PT-Symmetric NLDC [PDF]

Journal of Optoelectronical Nanostructures, 2017
PT-Symmetry is one of the interesting topics in quantum mechanics and optics. One of the demonstration of PT-Symmetric effects in optics is appeared in the nonlinear directional coupler (NLDC).
Lida Safaei, Mohsen Hatami, mahmood Borhani Zarandi   +2 more
doaj  

The integral equation methods for the perturbed Helmholtz eigenvalue problems

International Journal of Mathematics and Mathematical Sciences, 2005
It is well known that the main difficulty in solving eigenvalue problems under shape deformation relates to the continuation of multiple eigenvalues of the unperturbed configuration.
Abdessatar Khelifi
doaj   +1 more source

Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains

, 2009
We consider general second order uniformly elliptic operators subject to homogeneous boundary conditions on open sets ø(Ω) parametrized by Lipschitz homeomorphisms ø defined on a fixed reference domain Ω. For two open sets ø(Ω) and \tildeø(Ω) we estimate
Gerassimos Barbatis, Victor I. Burenkov, Pier Domenico Lamberti, G. BARBATIS, BURENKOV, VICTOR, LAMBERTI, PIER DOMENICO   +5 more
core   +1 more source

A Multi-Scale Approach for the Piezoelectric Modal Analysis in Periodically Perforated Structures

Mathematics
Piezoelectric composites have found a wide range of applications in smart structures and devices and effective numerical methods should be developed to simulate not only the macroscopic coupled piezoelectric performances, but also the details of the ...
Mengyu Zhang, Shuyu Ye, Qiang Ma
doaj   +1 more source

Boundedness and monotonicity of principal eigenvalues for boundary value problems with indefinite weight functions

International Journal of Mathematics and Mathematical Sciences, 2002
We study the principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem: −Δu(x)=λg(x)u(x), x∈D;(∂u/∂n)(x)+αu(x)=0, x∈∂D, where Δ is the standard Laplace operator, D is a bounded domain with smooth ...
G. A. Afrouzi
doaj   +1 more source

Sturm-Liouville problems with nonlinear dependence on the spectral parameter in the boundary conditions

Boundary Value Problems
In this study, asymptotic estimates of the eigenvalues and eigenfunctions are obtained for the Sturm-Liouville problem on a finite interval with boundary conditions depending polynomially on the spectral parameter.
Ayşe Kabataş
doaj   +1 more source

Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

Boundary Value Problems, 2010
By means of the two-scale convergence method, we investigate the asymptotic behavior of eigenvalues and eigenfunctions of Stekloff eigenvalue problems in perforated domains.
Douanla Hermann
doaj  

Asymptotic approximations of eigenvalues and eigenfunctions for regular Sturm-Liouville problems

, 2006
In this paper, we obtain estimates for the eigenvalues and eigenfunctions associated with Sturm-Liouville equation y" + (lambda - q)y = 0 having regular endpoints under the condition that q is an element of L-1 [0, pi]
Coskun, Haskiz
core   +1 more source

Spectral Properties of the Laplace Operator with Variable Dependent Boundary Conditions in a Disk

Axioms
In this work, we study the spectral properties of the Laplace operator with variable dependent boundary conditions in a disk. The boundary conditions include periodic and antiperiodic boundary conditions as well as the generalized Samarskii–Ionkin-type ...
Aishabibi Dukenbayeva, Makhmud Sadybekov
doaj   +1 more source