Geodesic
On the solvability of an initial-boundary value problem for a~nonlinear integro-differential equation with a~noncompact operator of Hammerstein type
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 308-315

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We study an initial-boundary value problem for a nonlinear integro-differential equation of Hammerstein–Nemytskii type with a difference kernel on a half-line. This problem, in addition to being theoretically interesting, can be applied in the theory of revenue distribution in a single-product economy.
Keywords: initial-boundary value problem, Caratheodory condition, Sobolev space, iteration, monotonicity. 
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Kh. A. Khachatryan. On the solvability of an initial-boundary value problem for a~nonlinear integro-differential equation with a~noncompact operator of Hammerstein type. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 308-315. http://geodesic.mathdoc.fr/item/TIMM_2013_19_3_a32/