Geodesic
On solvability of one class of nonlinear integral-differential equation with Hammerstein non-compact operator arising in a theory of income distribution
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 4, pp. 416-425

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In present paper we investigate a class of nonlinear integral-differential equation with Hammerstein noncompact operator which has direct application in a theory of income distribution. We prove solvability of the class of equations in special weighted Sobolev space. The results of numerical calculations are also presented.
Keywords: Hammerstein operator, weighted Sobolev space, iteration, Caratheodory's condition.
Mots-clés : monotony 
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     author = {Aghavard Kh. Khachatryan and Khachatur A. Khachatryan and Tigran H. Sardaryan},
     title = {On solvability of one class of nonlinear integral-differential equation with {Hammerstein} non-compact operator arising in a theory of income distribution},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Aghavard Kh. Khachatryan; Khachatur A. Khachatryan; Tigran H. Sardaryan. On solvability of one class of nonlinear integral-differential equation with Hammerstein non-compact operator arising in a theory of income distribution. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 4, pp. 416-425. http://geodesic.mathdoc.fr/item/JSFU_2015_8_4_a4/