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Nonlinear equations with weighted potential type operators in Lebesgue spaces
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 125 (2011) no. 4, pp. 160-164 Cet article a éte moissonné depuis la source Math-Net.Ru

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By method of monotone operators, existence and uniqueness theorems are proved for some classes of nonlinear equations with weighted potential type operators in Lebesgue spaces.
Keywords: nonlinear equations, potential type operator, monotone operator. 
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S. N. Askhabov. Nonlinear equations with weighted potential type operators in Lebesgue spaces. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 125 (2011) no. 4, pp. 160-164. http://geodesic.mathdoc.fr/item/VSGTU_2011_125_4_a19/

[1] Askhabov S. N., Nonlinear equations of convolution type, Fizmatlit, Moscow, 2009, 304 pp. | MR

[2] Kolmogorov A. N., Fomin S. V., Elements of the Theory of Functions and Functional Analysis, Fizmatlit, Moscow, 2004, 570 pp.

[3] Askhabov S. N., “On a nonlinear equation with a potential-type weighing operator”, Proceedings of the Eighth All-Russian Scientific Conference with international participation. Part 3, Matem. Mod. Kraev. Zadachi, SamGTU, Samara, 2011, 24–27

[4] Askhabov S. N., “Approximate solution of nonlinear equations with weighted potential type operators”, Ufimsk. Mat. Zh., 3:4 (2011), 8–13 | Zbl