The asymptotic behavior of solutions of a~certain nonlinear Volterra equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2012), pp. 35-44

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We study the asymptotic behavior of bounded and unbounded solutions to the Volterra–Hammerstein equation. We obtain conditions for the admissibility of pairs of spaces of functions representable as a sum of a quasipolynomial and a subsum of the Taylor expansion at the point in infinity.
Keywords: asymptotic behavior
Mots-clés : Volterra–Hammerstein equations.
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     author = {Z. B. Tsalyuk and M. V. Tsalyuk},
     title = {The asymptotic behavior of solutions of a~certain nonlinear {Volterra} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {35--44},
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     number = {7},
     year = {2012},
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Z. B. Tsalyuk; M. V. Tsalyuk. The asymptotic behavior of solutions of a~certain nonlinear Volterra equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2012), pp. 35-44. http://geodesic.mathdoc.fr/item/IVM_2012_7_a3/