One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations
- Авторлар: Khachatryan K.1, Petrosyan H.2
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Мекемелер:
- Institute of Mathematics of National Academy of Sciences of RA
- Armenian National Agrarian University
- Шығарылым: Том 231, № 2 (2018)
- Беттер: 153-167
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241105
- DOI: https://doi.org/10.1007/s10958-018-3812-2
- ID: 241105
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
Kh. Khachatryan
Institute of Mathematics of National Academy of Sciences of RA
Хат алмасуға жауапты Автор.
Email: Khach82@rambler.ru
Армения, 24/5, Marshal Baghramian pr., Yerevan, 0019
H. Petrosyan
Armenian National Agrarian University
Email: Khach82@rambler.ru
Армения, 74, Teryan St., Yerevan, 0009