Geodesic
Solvability of some classes of nonlinear integro-differential equations with noncompact operator
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2011), pp. 91-100

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For a class of nonlinear integrodifferential equations with a noncompact Urysohn-type operator we prove the existence of nonnegative bounded solutions. We study the asymptotic behavior of solutions at infinity. We give some examples that are of practical interest.
Keywords: nonlinearity, Urysohn-type equation, Carathéodory condition, Sobolev space, Hammerstein-type equation, Wiener–Hopf operator, pointwise convergence. 
@article{IVM_2011_1_a8,
     author = {Kh. A. Khachatryan and E. A. Khachatryan},
     title = {Solvability of some classes of nonlinear integro-differential equations with noncompact operator},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {91--100},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_1_a8/}
}
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Kh. A. Khachatryan; E. A. Khachatryan. Solvability of some classes of nonlinear integro-differential equations with noncompact operator. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2011), pp. 91-100. http://geodesic.mathdoc.fr/item/IVM_2011_1_a8/