Geodesic
On a method of the study of specific asymptotic stability of solutions to a sixth-order linear integrodifferential Volterra equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 38-42

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We state sufficient conditions of the asymptotic stability on the semi-axis of solutions to a linear, homogeneous, sixth-order integrodifferential Volterra-type equation in the case where solutions of the corresponding linear, homogeneous, sixth-order differential equation are asymptotically instable. We also present a new method and an illustrating example.
Keywords: integrodifferential equation, specific asymptotic stability, method of squaring, method of shearing functions, Lyusternik–Sobolev lemma. 
@article{INTO_2017_132_a8,
     author = {S. Iskandarov},
     title = {On a method of the study of specific asymptotic stability of solutions to a sixth-order linear integrodifferential {Volterra} equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {38--42},
     publisher = {mathdoc},
     volume = {132},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_132_a8/}
}
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S. Iskandarov. On a method of the study of specific asymptotic stability of solutions to a sixth-order linear integrodifferential Volterra equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 38-42. http://geodesic.mathdoc.fr/item/INTO_2017_132_a8/