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

被引：0
|
作者：
Savenko, Petro [1 ]
机构：
[1] NASU, Pidstryhach Inst Appl Problems Mech & Math, 3 B Naukova Str, UA-79060 Lvov, Ukraine
来源：
2019 XXIVTH INTERNATIONAL SEMINAR/WORKSHOP ON DIRECT AND INVERSE PROBLEMS OF ELECTROMAGNETIC AND ACOUSTIC WAVE THEORY (DIPED) | 2019年
关键词：
Nonlinear two-parameter spectral problem; differential equation; two-point boundary value problems; connected components of the spectrum; synthesis of radiating systems; nonlinear equations of Hammerstein type; branching of solutions; numerical methods and algorithms;
D O I：
10.1109/diped.2019.8882589
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
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.
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页码：147 / 151
页数：5
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