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Title: One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations

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.

Authors:
 [1];  [2]
  1. Institute of Mathematics of National Academy of Sciences of RA (Armenia)
  2. Armenian National Agrarian University (Armenia)
Publication Date:
OSTI Identifier:
22771213
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ASYMPTOTIC SOLUTIONS; INTEGRAL EQUATIONS; NONLINEAR PROBLEMS

Citation Formats

Khachatryan, Kh. A., E-mail: Khach82@rambler.ru, E-mail: Khach82@mail.ru, and Petrosyan, H. S., E-mail: haykuhi25@mail.ru. One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3812-2.
Khachatryan, Kh. A., E-mail: Khach82@rambler.ru, E-mail: Khach82@mail.ru, & Petrosyan, H. S., E-mail: haykuhi25@mail.ru. One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations. United States. doi:10.1007/S10958-018-3812-2.
Khachatryan, Kh. A., E-mail: Khach82@rambler.ru, E-mail: Khach82@mail.ru, and Petrosyan, H. S., E-mail: haykuhi25@mail.ru. Tue . "One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations". United States. doi:10.1007/S10958-018-3812-2.
@article{osti_22771213,
title = {One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations},
author = {Khachatryan, Kh. A., E-mail: Khach82@rambler.ru, E-mail: Khach82@mail.ru and Petrosyan, H. S., E-mail: haykuhi25@mail.ru},
abstractNote = {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.},
doi = {10.1007/S10958-018-3812-2},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 231,
place = {United States},
year = {2018},
month = {5}
}