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System of integro-differential equations of convolution type with power nonlinearity
Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 3, pp. 5-18 Cet article a éte moissonné depuis la source Math-Net.Ru

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The method of weighted metrics in the cone of the space of continuous functions is used to prove a global theorem on the existence and uniqueness of a nonnegative nontrivial solution for a system of integro-differential equations of convolution type with power nonlinearity. It is shown that the solution can be found by the method of successive approximations of the Picard type and exact a priori estimates are obtained for it.
Keywords: system of integro-differential equations, power nonlinearity.
Mots-clés : convolution 
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S. N. Askhabov. System of integro-differential equations of convolution type with power nonlinearity. Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 3, pp. 5-18. http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a0/

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