One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations
- 作者: Khachatryan K.1, Petrosyan H.2
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隶属关系:
- Institute of Mathematics of National Academy of Sciences of RA
- Armenian National Agrarian University
- 期: 卷 231, 编号 2 (2018)
- 页面: 153-167
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241105
- DOI: https://doi.org/10.1007/s10958-018-3812-2
- ID: 241105
如何引用文章
详细
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.
作者简介
Kh. Khachatryan
Institute of Mathematics of National Academy of Sciences of RA
编辑信件的主要联系方式.
Email: Khach82@rambler.ru
亚美尼亚, 24/5, Marshal Baghramian pr., Yerevan, 0019
H. Petrosyan
Armenian National Agrarian University
Email: Khach82@rambler.ru
亚美尼亚, 74, Teryan St., Yerevan, 0009