Geodesic
On stabilization of solutions of integrodifferential incomplete second-order equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2016), pp. 78-83

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We consider abstract linear integrodifferential incomplete second-order equations in the Hilbert space. Operator coefficients of these equations are unbounded selfadjoint nonnegative operators. These equations arise naturally in the study of problems of viscoelasticity and hydroelasticity. We prove a theorem on asymptotic stability of strong solutions of these equations.
Keywords: integrodifferential equation, stability. 
@article{IVM_2016_9_a8,
     author = {D. A. Zakora},
     title = {On stabilization of solutions of integrodifferential incomplete second-order equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {78--83},
     publisher = {mathdoc},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_9_a8/}
}
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D. A. Zakora. On stabilization of solutions of integrodifferential incomplete second-order equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2016), pp. 78-83. http://geodesic.mathdoc.fr/item/IVM_2016_9_a8/