Geodesic
Nonlinear integral equations with kernels of potential type on a~segment
Contemporary Mathematics. Fundamental Directions, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 3, Tome 60 (2016), pp. 5-22

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We study various classes of nonlinear equations containing an operator of potential type (Riesz potential). By the monotone operators method in the Lebesgue spaces of real-valued functions $L_p(a,b)$ we prove global theorems on existence, uniqueness, estimates, and methods of obtaining of their solutions. We consider corollaries as applications of our results. 
@article{CMFD_2016_60_a0,
     author = {S. N. Askhabov},
     title = {Nonlinear integral equations with kernels of potential type on a~segment},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {5--22},
     publisher = {mathdoc},
     volume = {60},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2016_60_a0/}
}
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S. N. Askhabov. Nonlinear integral equations with kernels of potential type on a~segment. Contemporary Mathematics. Fundamental Directions, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 3, Tome 60 (2016), pp. 5-22. http://geodesic.mathdoc.fr/item/CMFD_2016_60_a0/