Geodesic
System of integro-differential equations of convolution type with power nonlinearity
Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 3, pp. 5-18

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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 
@article{SJIM_2021_24_3_a0,
     author = {S. N. Askhabov},
     title = {System of integro-differential equations of convolution type with power nonlinearity},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {5--18},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a0/}
}
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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/