Geodesic
Method of maximal monotonic operators in the theory of nonlinear integro-differential equations of convolution type
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 3-13

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Using the method of maximal monotonic (in the Browder–Minty sense) operators, we prove global theorems on the existence and uniqueness of solutions for various classes of nonlinear integro-differential equations of convolution type in real spaces $L_p$, $1$, and present illustrative examples.
Keywords: positive operator, convolution operator, monotone operator, nonlinear integro-differential equation. 
@article{INTO_2019_167_a0,
     author = {S. N. Askhabov},
     title = {Method of maximal monotonic operators in the theory of nonlinear integro-differential equations of convolution type},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {167},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_167_a0/}
}
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S. N. Askhabov. Method of maximal monotonic operators in the theory of nonlinear integro-differential equations of convolution type. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 3-13. http://geodesic.mathdoc.fr/item/INTO_2019_167_a0/