Nonlinear Two-Parameter Spectral Problems in Studies of Solutions of Differential and Nonlinear Integral Equations of Hammerstein Type

The theory and methods of solving the nonlinear multi-parametric spectral problems and their application in investigations of spectral properties of linear differential equations, which comprise the spectral parameters in equation coefficients and boundary conditions nonlinearly, are considered. Inv...

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Bibliographic Details
Published in:Proceedings of the ... International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory pp. 147 - 151
Main Author: Savenko, Petro
Format: Conference Proceeding
Language:English
Published: IEEE 01.09.2019
Subjects:
Acoustic waves
Boundary conditions
branching of solutions
connected components of the spectrum
Convergence
differential equation
Differential equations
Electromagnetic scattering
Electromagnetics
Integral equations
nonlinear equations of Hammerstein type
Nonlinear two-parameter spectral problem
numerical methods and algorithms
synthesis of radiating systems
two-point boundary value problems
ISBN:9781728123882, 1728123887
ISSN:2165-3593
Online Access:Get full text
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Summary:The theory and methods of solving the nonlinear multi-parametric spectral problems and their application in investigations of spectral properties of linear differential equations, which comprise the spectral parameters in equation coefficients and boundary conditions nonlinearly, are considered. Investigation of the problem of non-uniqueness of solutions to the non-linear integral equations of the Hammerstein type, which are used in the theory of the synthesis of antennas with a plane radiating aperture, is presented. A number of numerical examples of solving specific spectral problems are given.
ISBN:9781728123882
1728123887
ISSN:2165-3593
DOI:10.1109/DIPED.2019.8882589