Email this article One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations
- Authors: Khachatryan K.A.1, Petrosyan H.S.2
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Affiliations:
- Institute of Mathematics of National Academy of Sciences of RA
- Armenian National Agrarian University
- Issue: Vol 231, No 2 (2018)
- Pages: 153-167
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241105
- DOI: https://doi.org/10.1007/s10958-018-3812-2
- ID: 241105
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Abstract
We consider a class of nonlinear convolution type integral equations with a noncompact Hammerstein operator on the half-line and on the whole line. Under certain conditions on nonlinearity, we prove the existence of a one-parameter family of positive solutions and study the asymptotic behavior of the solutions at infinity. The results are illustrated by examples of the equations under consideration.
About the authors
Kh. A. Khachatryan
Institute of Mathematics of National Academy of Sciences of RA
Author for correspondence.
Email: Khach82@rambler.ru
Armenia, 24/5, Marshal Baghramian pr., Yerevan, 0019
H. S. Petrosyan
Armenian National Agrarian University
Email: Khach82@rambler.ru
Armenia, 74, Teryan St., Yerevan, 0009
