Geodesic
Solubility of a~class of second-order integro-differential equations with monotone non-linearity on a~semi-axis
Izvestiya. Mathematics , Tome 74 (2010) no. 5, pp. 1069-1082

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We consider a second-order integro-differential equation with locally monotone non-linearity and use special factorization methods to prove its solubility in the Sobolev space $W^2_\infty(0,+\infty)$. We also evaluate the limit of the solution at infinity in some cases.
Keywords: Sobolev space, iteration, monotonicity of a solution, Carathéodory condition. 
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     author = {Kh. A. Khachatryan},
     title = {Solubility of a~class of second-order integro-differential equations with monotone non-linearity on a~semi-axis},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2010_74_5_a5/}
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Kh. A. Khachatryan. Solubility of a~class of second-order integro-differential equations with monotone non-linearity on a~semi-axis. Izvestiya. Mathematics , Tome 74 (2010) no. 5, pp. 1069-1082. http://geodesic.mathdoc.fr/item/IM2_2010_74_5_a5/