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Received 06.08.2015, received in revised form 03.09.2015, accepted 05.10.2015 In present paper we investigate a class of nonlinear integraldifferential 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.

žurnal sibirskogo federalʹnogo universiteta. matematika i fizika/žurnal sibirskogo federalʹnogo universiteta. seriâ matematika i fizika

On Solvability of one Class of Nonlinear Integral-differential Equation with Hammerstein Non-compact Operator Arising in a Theory of Income Distribution