Nonlinear spectral problem in synthesis problems of plane antenna arrays

2009 ◽  
Author(s):  
L. P. Protsakh ◽  
P. O. Savenko ◽  
M. D. Tkach
Keyword(s):  
Spectral Problem ◽  
Antenna Arrays ◽  
Plane Antenna ◽  
Nonlinear Spectral Problem

scholarly journals Trapped modes around freely floating bodies in a two-layer fluid channel

2014 ◽  
Vol 470 (2170) ◽  
pp. 20140396 ◽  
Author(s):  
Filipe S. Cal ◽  
Gonçalo A. S. Dias ◽  
Juha H. Videman
Keyword(s):  
Spectral Problem ◽  
Water Waves ◽  
Adjoint Operator ◽  
Trapped Modes ◽  
Floating Bodies ◽  
Floating Structures ◽  
Nonlinear Spectral Problem ◽  
Time Harmonic ◽  
Fluid Channel ◽  
Elimination Scheme

Unlike the trapping of time-harmonic water waves by fixed obstacles, the oscillation of freely floating structures gives rise to a complex nonlinear spectral problem. Still, through a convenient elimination scheme the system simplifies to a linear spectral problem for a self-adjoint operator in a Hilbert space. Under symmetry assumptions on the geometry of the fluid domain, we present conditions guaranteeing the existence of trapped modes in a two-layer fluid channel. Numerous examples of floating bodies supporting trapped modes are given.

Solving a nonlinear spectral problem for a matrix

1980 ◽  
Vol 13 (2) ◽  
pp. 230-240
Author(s):  
T. Ya. Kon'kova ◽  
V. N. Kublanovskaya ◽  
L. T. Savinova
Keyword(s):  
Spectral Problem ◽  
Nonlinear Spectral Problem

On the eigenvalues of a nonlinear spectral problem

2016 ◽  
Vol 52 (2) ◽  
pp. 149-156 ◽  
Author(s):  
D. V. Valovik ◽  
V. Yu. Kurseeva
Keyword(s):  
Spectral Problem ◽  
Nonlinear Spectral Problem
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