Characteristic singular integral equations with solutions having singularities of higher order on the real axis

2009 ◽  
Vol 14 (4) ◽  
pp. 299-303 ◽  
Author(s):  
Shouguo Zhong
Keyword(s):  
Integral Equations ◽  
Real Axis ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Higher Order ◽  
The Real

scholarly journals On Factorization of Functional Operators with Reflection on the Real Axis

2021 ◽  
Vol 20 ◽  
pp. 171-177
Author(s):  
Oleksandr Karelin ◽  
Anna Tarasenko
Keyword(s):  
Boundary Value Problems ◽  
Real Axis ◽  
Singular Integral ◽  
Matrix Factorization ◽  
Singular Integral Equations ◽  
Matrix Functions ◽  
Riemann Boundary ◽  
The Real ◽  
Partial Indices ◽  
The Relationship

Problems of factorization of matrix functions are closely connected with the solution of matrix Riemann boundary value problems and with the solution of vector singular integral equations. In this article, we study functional operators with orientation-reversing shift reflection on the real axes. We introduce the concept of multiplicative representation of functional operators with shift and its partial indices. Based on the classical notion of matrix factorization, the correctness of the definitions is shown. A theorem on the relationship between factorization of functional operators with reflection and factorization of the corresponding matrix functions is proven.

Higher order singular integral equations on complex hypersphere

2010 ◽  
Vol 30 (5) ◽  
pp. 1785-1792
Author(s):  
Chen Lüping ◽  
Zhong Tongde
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Higher Order

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna
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