On Integral Equations the Kernels of Which are Homogeneous Functions of Degree (−1)

The present paper deals with integral equations the kernels of which are homogeneous functions of degree (−1). Factorization approach to such equations is developed. The constructed operator factorization is applied to the equation with a positive symmetric kernel. We prove that in the conservative...

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Bibliographic Details
Published in:Journal of contemporary mathematical analysis Vol. 53; no. 1; pp. 47 - 55
Main Author: Barseghyan, A. G.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.01.2018
Springer Nature B.V
Subjects:
Factorization
Integral Equations
Kernels
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
conservative equation
homogeneous function of degree −1
Nonlinear factorization equation
fundamental solution
ISSN:1068-3623, 1934-9416
Online Access:Get full text
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Summary:The present paper deals with integral equations the kernels of which are homogeneous functions of degree (−1). Factorization approach to such equations is developed. The constructed operator factorization is applied to the equation with a positive symmetric kernel. We prove that in the conservative case, both the homogeneous equation and the corresponding nonhomogeneous equation with a positive free term can possess positive solutions simultaneously.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362318010089