On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread

被引：8

作者：

Khachatryan, A. Kh. ^{[1
]}

Khachatryan, Kh. A. ^{[2
]}

机构：

[1] Armenian Natl Agr Univ, Teryan 74, Yerevan 0009, Armenia

[2] Natl Acad Sci Republ Armenia, Inst Math, Marshal Baghramian Ave 24-5, Yerevan 0019, Armenia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2019年 / 306卷 / 01期

关键词：

D O I：

10.1134/S0081543819050225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：271 / 287

页数：17

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