On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread
A. Kh. KhachatryanArmenian National Agrarian University, Teryan 74, Yerevan, 0009, Republic of ArmeniaKh. A. KhachatryanInstitute of Mathematics of National Academy of Sciences of the Republic of Armenia, Marshal Baghramian ave. 24/5, Yerevan, 0019, Republic of Armenia
2019en
ABI
Annotatsiya
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.
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