Geodesic
On solvability of a~nonlinear problem in theory of income distribution
Eurasian mathematical journal, Tome 2 (2011) no. 2, pp. 75-88

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We consider a nonlinear integro-differential equation with a Hammerstein type noncompact operator, arising in the theory of income distribution. We prove the existence of a positive solution of the nonlinear problem in Sobolev space $W_1^1(\mathbb R^+)$. We list some examples arising in applications. For one modeling problem a uniqueness theorem is proved. At the end of the paper the results of numerical calculations are given. 
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A. Khachatryan; Kh. Khachatryan. On solvability of a~nonlinear problem in theory of income distribution. Eurasian mathematical journal, Tome 2 (2011) no. 2, pp. 75-88. http://geodesic.mathdoc.fr/item/EMJ_2011_2_2_a3/