Geodesic
Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 971-986

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In this paper, we consider a system of connected incomplete second-order integro-differential operator equations. The sufficient conditions for exponential stability of this system are given. In the case where the external forces are of special type an asymptotic behavior of solutions to this system is proven.
Keywords: integro-differential equation, exponential stability, asymptotics. 
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     author = {D. A. Zakora},
     title = {Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {971--986},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a98/}
}
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D. A. Zakora. Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 971-986. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a98/