V. G. Zvyagin, N. M. Ratiner, Topologicheskie metody v teorii nelineinykh fredgolmovykh otobrazhenii i ikh prilozheniya, Nauka, Moskva, 2019 , 543 pp.
V. G. Zvyagin, S. V. Kornev, Metod napravlyayuschikh funktsii i ego modifikatsii, URSS, Moskva, 2018 , 168 pp.
V. G. Zvyagin, Vvedenie v topologicheskie metody nelineinogo analiza, Izdatelskii dom VGU, Voronezh, 2014 , 291 pp.
V. G. Zvyagin, M. V. Turbin, Matematicheskie voprosy gidrodinamiki vyazkouprugikh sred, URSS, Moskva, 2012 , 416 pp.
V. G. Zvyagin, S. K. Kondratev, Attraktory dlya uravnenii modelei dvizheniya vyazkouprugikh sred, Izdatelsko-poligraficheskii tsentr Voronezhskogo gosudarstvennogo universiteta, Voronezh, 2010 , 266 pp.
V. G. Zvyagin, D. A. Vorotnikov, Topological approximation methods for evolutionary problems of nonlinear hydrodynamics, De Gruyter Series in Nonlinear Analysis and Applications, 12, Walter de Gruyter & Co., Berlin, 2008 , 230 pp.
V. G. Zvyagin, V. T. Dmitrienko, Approksimatsionno-topologicheskii podkhod k issledovaniyu zadach gidrodinamiki. Sistema Nave-Stoksa, Editorial URSS, Moskva, 2004 , 112 pp.