Email this article On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread
- Authors: Khachatryan A.K.1, Khachatryan K.A.2
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Affiliations:
- Armenian National Agrarian University
- Institute of Mathematics of National Academy of Sciences of the Republic of Armenia
- Issue: Vol 306, No 1 (2019)
- Pages: 271-287
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175928
- DOI: https://doi.org/10.1134/S0081543819050225
- ID: 175928
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Abstract
We study some classes of convolution-type nonlinear integral equations that are directly related to the problems of geographic spread of epidemic diseases. Under various constraints on the nonlinearity and the kernel of the equation, we prove existence theorems for monotonic and bounded solutions. We also present specific examples of application of these equations.
About the authors
A. Kh. Khachatryan
Armenian National Agrarian University
Author for correspondence.
Email: Aghavard59@mail.ru
Armenia, Teryan 74, Yerevan, 0009
Kh. A. Khachatryan
Institute of Mathematics of National Academy of Sciences of the Republic of Armenia
Author for correspondence.
Email: Khach82@rambler.ru
Armenia, Marshal Baghramian ave. 24/5, Yerevan, 0019
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